High School

In the diagram below, line FI intersects with line GJ at point H. The measure of ∠F is three times the measure of ∠G. The measure of ∠J is 31º, and the measure of ∠I is 57º. What is the measure of ∠F? Explain.

A. 92º
B. 88º
C. 66º
D. 44º
E. 22º

Answer :

The measure of angle F is 92 degrees.

The angles in a triangle

The sum of the angles that are in a triangle is = 180 degrees.

One angle = 31°

The second angle = 57°

The value of F is unknown.

When we apply this law we have:

31° + 57° + F = 180°

F = 180-31-57

F = 92°

Therefore the measure of angle F is = 92°

Read more on triangles here:

https://brainly.com/question/2644832

Other Questions