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 90�, then the angles are called to be �complementary angles�.
  • If the sum of the two angles measure up to 180�, 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 = 35� + 30� = 65�.

Video Examples: Angle Addition Postulate - Geometry Help


Solved Example Clockple on Angle Addition Postulate

Ques:

Find m?CAB. [Given ?DAB = 64� and ?DAC = 53�.]

    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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