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3 years ago

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

Mathematics

1 answer:

Andrew [12]3 years ago

7 0

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°.

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