Question

question 8 of 10
what is the value of x?
60° 95°
a. 60°
b. 25°
c. 155°
d. 35°

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 \(E = 95^{\circ}\) and \(A = 60^{\circ}\) into the equation \(E=x + A\). We get \(x=E - A\).

$$x=95^{\circ}-60^{\circ}$$

$$x = 35^{\circ}$$

Answer:

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