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:

Answer 1

Answer: m∠AGE is 120 degrees

Explanation:

every single triangle has an overall angle measurement of 180°, which means that all of the angles in the triangle add up to 180°.

an equilateral triangle's sides all have the same measurements, as do their angles.

this means that the measurement of one angle on one equilateral triangle is 180°÷3, which equals 60° (but your problem already gave you that).

∠AGE is two angles of an equilateral triangle added together, which means that ∠AGE is 60°+60°, which equals 120°.

so the answer is 120°.