Adjacent Angles

Definition of Adjacent Angles

The word adjacent means next or neighboring.

Adjacent angles are angles just next to each other. Adjacent angles share a common vertex and a common side, but do not overlap.

More about Adjacent Angles

    If two adjacent angles form a right angle (90), then they are complementary
    example of Adjacent Angles
    If two adjacent angles form a right angle (90), then they are complementary.
    example of Adjacent Angles
    example of Adjacent Angles

Examples of Adjacent Angles

    In the figure shown, a and b are adjacent angles. They have a common vertex O and a common side OA.

Video Examples: Adjacent Angles


Solved Example on Adjacent Angles

Ques: Name all pairs of angles in the diagram that are adjacent.

    example of Adjacent Angles

Solution:

    Adjacent angles are angles just next to each other. Adjacent angles share a common vertex and a common side, but do not overlap.
    a and b, b and c, c and d, d and e, e and a are the pairs of adjacent angels in the diagram shown above.

Ques: BAC and CAD are adjacent angles. Find mCAD, if mBAC = 32 and mDAB = 58.

Solution:

    Step 1: Lets first draw the figure.
      example of Adjacent Angles
    Step 2: BAC and CAD are adjacent angles.
    mDAB = mBAC + mCAD
    mCAD = mDAB mBAC
    Step 3: = 58 32 = 26
    Step 4: So, mCAD = 26.