Question

what is the measure of angle y?
a. 82°
b. 99°
c. 111°
d. 122°

Explanation:

Step1: Use the exterior angle theorem

The exterior angle theorem states that an exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. In this case, \(y = 29^{\circ}+82^{\circ}\).

Step2: Calculate the sum

\(y=29 + 82=111^{\circ}\)

Answer:

C. \(111^{\circ}\)