Question

question 4 of 10
what is the value of x?

a. 70°
b. 10°
c. 30°
d. 170°

Explanation:

Step1: Recall exterior angle theorem

The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. Let the two non - adjacent interior angles be \(70^{\circ}\) and \(x\), and the exterior angle be \(100^{\circ}\). So we have the equation \(100^{\circ}=70^{\circ}+x\).

Step2: Solve for x

Subtract \(70^{\circ}\) from both sides of the equation: \(x = 100^{\circ}-70^{\circ}=30^{\circ}\).

Answer:

C. \(30^{\circ}\)