Question

Which postulate explains why angle PQR would be 140 degrees in the picture below ?

A. Interior angles postulate
B. Addition postulate
C. Sum angle postulate
D. Angle addition postulate

Please help me with this

Answer 1

angle addition postulate

Explanation:

The angle addition postulate states that if a line (QR) divides an interior angle (SQP), then the two smaller angles sum to the interior angle.

Answer 2

D. Angle addition postulate

Explanation:

The angle addition postulate tells you the larger angle SQP is the sum of the angles produced by the dividing ray OR. That is, ...

∠SQR +∠PQR =∠SQP

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Then the subtraction property of equality is used to find the value of ∠PQR:

∠PQR = ∠SQP -∠SQR . . . . . subtract ∠SQR from both sides

∠PQR = 160° -20° = 140°