Question

question 4 of 10
what is the value of p?
a. 43°
b. 47°
c. 133°
d. 90°

Explanation:

Step1: Find the adjacent angle of \(133^{\circ}\)

The adjacent angle of \(133^{\circ}\) is \(180 - 133=47^{\circ}\) (linear - pair of angles: sum is \(180^{\circ}\)).

Step2: Use the property of the sum of angles in a triangle - like figure (exterior angle property)

Let's assume the triangle - related property (the sum of two non - adjacent interior angles is equal to the exterior angle). Here, if we consider the angles, we know that \(p + 47=90\) (using the relationship between the angles in the given figure).
Then \(p=90 - 47\).

Answer:

A. \(43^{\circ}\)