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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:

120°

Step-by-step explanation:

All the angles of an equilateral triangle are equal, and hence have a measure of 60°.

∵ ∠AGF is a part of equilateral Δ AGF, m∠AGF = 60°.

∵ ∠FGE is a part of equilateral Δ AGF, m∠FGE = 60°.

Also note that ∠AGE = ∠AGF + ∠FGE.

⇒ m∠AGE = m∠AGF + m∠FGE

⇒ m∠AGE  = 60° + 60°

                    = 120°.