Question

Every triangle in the figure at right is equilateral. What is the measure of ∠AGE?

Step:

1. Use the corollaries of the isosceles triangle theorem. Each angle in an equilateral triangle measures 60° 2. Use those two angles to find m∠AGE.

Problem:
M angle AGF =
M angle FGE =
M angle AGE = M angle AGF + M angle FGE
= __ + __
= ___

Answer 1

The answer to your question is: ∠AGE = 120°

Explanation:

∠AGE = ?

Process

∠AGF = 60°

∠FGE = 60°

∠AGE = ∠AGF + ∠FGE = 60° + 60°

∠AGE = 120°