Question

In triangle EFG, the measure of angle E is 97 degrees, and the measure of angle F is 15 degrees. What is the measure of angle G?

Answer 1

Measure of angle G is 68°.

Explanation:

In triangle EFG,

Measure of angle E = 97°

Measure of angle F = 15°

By the triangle sum theorem,

Sum of measures of all interior angles of triangle = 180°

m(∠E) + m(∠F) + m(∠G) = 180°

97° + 15° + m(∠G) = 180°

m(∠G) = 180° - 112°

= 68°

Therefore, measure of angle G is 68°.