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Angles Complimentary angles Acute angle Right angle

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Complementary Angles
Definition of Complementary Angles

Complementary Angles are two acute angles that add up to give a right angle, 90°.

Examples of Complementary Angles

34°, 56° and 28°, 62° are examples of complementary angles.

Solved Example on Complementary Angles

If m∠A is 26, then find the measure of its complement.
Choices:
A. 34°
B. 56°
C. 64°
D. 25°
Correct Answer: C
Solution:
Step 1: Complement of m∠A = 90 - m∠A = 64.

Related Terms for Complementary Angles

Angle
Right Angle
Acute Angle

Additional Links for Complementary Angles

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Browse for solved examples below on this Math Dictionary term:

CBSE Curriculum > > Lines, Angles and Triangles > Problems on Angles around a point (e.g. using vertically opposite angles, supplementary angles, complementary angles, linear pair etc.,)

CBSE Curriculum > IBD Math > Trigonometry > Trigonometric Ratios of Complementary Angles

Michigan Assessment Curriculum - 2006 > Benchmark - Algebra II > Interpreting Geometry > G.GS.06.01-Understand and apply basic properties of lines, angles, and triangles, including: • triangle inequality • relationships of vertical angles, complementary angles, supplementary angles • congruence of corresponding and alternate interior angles when parallel lines are cut by a transversal, and that such congruencies imply parallel lines • locate interior and exterior angles of any triangle, and use the property that an exterior angle of a triangle is equal to the sum of the remote (opposite) interior angles • know that the sum of the exterior angles of a convex polygon is 360°.

Michigan Assessment Curriculum - 2006 > Grade 6 > Interpreting Geometry > G.GS.06.01-Understand and apply basic properties of lines, angles, and triangles, including: • triangle inequality • relationships of vertical angles, complementary angles, supplementary angles • congruence of corresponding and alternate interior angles when parallel lines are cut by a transversal, and that such congruencies imply parallel lines • locate interior and exterior angles of any triangle, and use the property that an exterior angle of a triangle is equal to the sum of the remote (opposite) interior angles • know that the sum of the exterior angles of a convex polygon is 360°.

Michigan Assessment Curriculum - 2006 > Geometry > Figures and Their Properties > G1.1.1-Solve multistep problems and construct proofs involving vertical angles, linear pairs of angles, supplementary angles, complementary angles, and right angles.

Minnesota Assessment curriculum - 2006 > Benchmark - Algebra II > Geometry and Measurement > V.B.1-Use facts about angles including the relationship between complementary angles, supplementary angles and the angles within triangles to solve real-world and mathematical problems.

Minnesota Assessment curriculum - 2006 > Grade 6 > Geometry and Measurement > V.B.1-Use facts about angles including the relationship between complementary angles, supplementary angles and the angles within triangles to solve real-world and mathematical problems.

Oregon Assessment Curriculum - 2006 > Benchmark - Algebra II > Interpreting Geometry > MA.06.GM.07-Model, sketch, draw, and label polygons, circles (including the center, radius, and diameter), complementary angles, supplementary angles, vertical angles, and adjacent angles.

Oregon Assessment Curriculum - 2006 > Grade 6 > Interpreting Geometry > MA.06.GM.07-Model, sketch, draw, and label polygons, circles (including the center, radius, and diameter), complementary angles, supplementary angles, vertical angles, and adjacent angles.

Alabama Assessment Curriculum - 2006 > Grade 8 > Exploring Measurement > 9-Determine the measures of special angle pairs, including adjacent, vertical, supplementary, and complementary angles, and angles formed by parallel lines cut by a transversal.

Alabama Assessment Curriculum - 2006 > Geometry > Geometry > 2-Justify theorems related to pairs of angles, including angles formed by parallel and perpendicular lines, vertical angles, adjacent angles, complementary angles, and supplementary angles.

New York Assessment Curriculum - 2006 > Grade 8 > Interpreting Geometry > 8.G.2-Identify pairs of supplementary and complementary angles.

Virginia Asssessment Curriculum - 2006 > Grade 8 > Exploring Measurement > 8.6-Verify by measuring and describe the relationships among vertical angles, supplementary angles, and complementary angles and will measure and draw angles of less than 360°.

Arizona Assessment Curriculum - 2006 > Benchmark - Algebra II > Measurement and Geometry > 4.1.PO 7-Identify supplementary or complementary angles.

Arizona Assessment Curriculum - 2006 > Grade 6 > Measurement and Geometry > 4.1.PO 7-Identify supplementary or complementary angles.

CBSE Common Curriculum - 2007 > Pre-Calculus > Introduction to Trigonometry > Trigonometric Ratios of Complementary Angles

NCERT Curriculum 2007 > Geometry > Introduction to Trigonometry > Trigonometric Ratios of Complementary Angles

NCERT Curriculum - 2007 > IBD Math > Introduction to Trigonometry > Trigonometric Ratios of Complementary Angles

NCERT Assessment Curriculum - 2007 > Geometry > INTRODUCTION TO TRIGONOMETRY > Trigonometric ratios of an acute angle of a right-angled triangle. Proof of their existence (well defined); motivate the ratios, whichever are defined at 0° and 90°. Values (with proofs) of the trigonometric ratios of 30°, 45° and 60°. Relationships between the ratios. Trigonometric Identities - Proof and applications of the identity sin² A + cos² A = 1. Only simple identities to be given. Trigonometric ratios of complementary angles.

ICSE Assessment Curriculum > Algebra - 1 > Trigonometry > 5.b-Trigonometric ratios of complementary angles and direct application - sin A = cos(90 - A), cos A = sin(90 - A); tan A = cot(90 - A), cot A = tan(90 - A); sec A = cosec(90 - A), cosec A = sec(90 - A)

NCERT Curriculum - 2008 > IBD Math > Introduction to Trigonometry > Trigonometric Ratios of Complementary Angles

ICSE Assessment Curriculum - 2008 > IBD Math > Trigonometry > 5.b-Trigonometric ratios of complementary angles and direct application sin A = cos(90 - A), cos A = sin(90 - A); tan A = cot(90 - A), cot A = tan(90 - A); sec A = cosec(90 - A), cosec A = sec(90 - A).

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Complementary AnglesDefinition of Complementary Angles

Examples of Complementary Angles

Solved Example on Complementary Angles

Related Terms for Complementary Angles

Complementary Angles
Definition of Complementary Angles