Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

6. what is the measure of angle x? 75° 36° x = ____

Question

  1. what is the measure of angle x? 75° 36° x = ____

Explanation:

Step1: Recall angle - sum property

The sum of the interior angles of a triangle is 180°. The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. Here, angle \(x\) is an exterior angle of the triangle with interior angles 75° and 36°.

Step2: Calculate the value of \(x\)

\(x=75^{\circ}+36^{\circ}\)
\(x = 111^{\circ}\)

Answer:

\(111^{\circ}\)