Question

find the measure of angle f given the information below.
a = 114°
c = 61°

Explanation:

Step1: Find angle b

Since a and b are supplementary (a + b=180°), b = 180° - a. Given a = 114°, then b=180 - 114 = 66°.

Step2: Use angle - sum property of a triangle

In a triangle, the sum of interior angles is 180°. So f + b+ c = 180°. We know b = 66° and c = 61°. Then f=180-(b + c)=180-(66 + 61)=53°.

Answer:

53°