Answered

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1. In the diagram below FI intersects with GJ at point H. The measure of 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?

No label

A. 92º
B.88º
C.66º
D. 44º
E. 22º

Sagot :

ogorwyne

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°

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