Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question 7 of 10 what is the value of p? a. 55° b. 125° c. 35° d. 45°

Question

question 7 of 10
what is the value of p?
a. 55°
b. 125°
c. 35°
d. 45°

Explanation:

Step1: Find the adjacent - angle to 125°

The adjacent - angle to 125° on a straight - line is 180° - 125° = 55°.

Step2: Use the angle - sum property of a triangle

In the right - angled triangle, one angle is 90° and another is 55°. Let the third angle be \(p\).
By the angle - sum property of a triangle (\(A + B + C=180^{\circ}\)), we have \(p=180^{\circ}-90^{\circ}-55^{\circ}\).
\(p = 35^{\circ}\)

Answer:

C. 35°