Question

what is the value of p? a. 50° b. 40° c. 90° d. 60°

Explanation:

Step1: Find the adjacent - angle of 140°

The adjacent - angle of 140° is 180° - 140°=40° since they are supplementary angles.

Step2: Use the right - angle property

In the right - angled triangle formed, one angle is 90° and another is the 40° angle we just found. Using the angle - sum property of a triangle (the sum of interior angles of a triangle is 180°), we have p + 40°+90° = 180°.
So, p=180°-(90° + 40°)=50°.

Answer:

A. 50°