Question

question 7 of 10
what is the value of x?
a. 35°
b. 155°
c. 25°
d. 60°

Explanation:

Step1: Use the exterior - angle theorem

The exterior - angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non - adjacent interior angles. Let the exterior angle be \(E = 95^{\circ}\), one non - adjacent interior angle \(A=60^{\circ}\), and the other non - adjacent interior angle \(x\). Then \(E=x + A\).

Step2: Solve for \(x\)

Substitute the values into the formula \(x=E - A\). Given \(E = 95^{\circ}\) and \(A = 60^{\circ}\), we have \(x=95^{\circ}-60^{\circ}\).

Answer:

A. \(35^{\circ}\)