Angle Addition Postulate

Definition of Angle Addition Postulate

Angle Addition Postulate states that if a point S lies in the interior of ∠PQR, then ∠PQS + ∠SQR = ∠PQR.

    exAngle Addition Postulateple of Angle Addition Postulate

More about Angle Addition Postulate

  • If the sum of the two angles measure up to 900, then the angles are called to be 'complementary angles'.
  • If the sum of the two angles measure up to 1800, then the angles are called to be 'supplementary angles'.
  • The angles sharing a common side are called as 'adjacent angles'.

Examples of Angle Addition Postulate

    exAngle Addition Postulateple of Angle Addition Postulate

    According to angle addition postulate, m∠DAC + m∠CAB = m∠DAB. So, m∠DAB = 350+ 300 = 650.

Video Examples: Angle Addition Postulate - Geometry Help


Solved Example on Angle Addition Postulate

Ques:

Find m∠CAB. [Given ∠DAB = 640 and ∠DAC = 530.]

    exAngle Addition Postulateple of Angle Addition Postulate
    Choices:
    A. 28
    B. 15
    C. 11
    D. 117
    Correct Answer: C

Solution:

    Step 1: m∠DAC + m∠CAB = m∠DAB [Angle Addition Postulate.]
    Step 2: m∠CAB = m∠DAB - m∠DAC
    Step 3: m∠CAB = 64 - 53 [Substitute.]
    Step 4: m∠CAB = 11 [Add.]

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