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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:

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 eq class=
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 eq class=
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 eq class=

Respuesta :

Answer: m∠AGE is 120 degrees

Step-by-step 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°.