charchardamelio111 charchardamelio111

03-05-2021
Mathematics

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EFG is isosceles as shown in the diagram. Find the measure of angle ∠GED. (no links, and i will mark brainliest.)

EFG is isosceles as shown in the diagram Find the measure of angle GED no links and i will mark brainliest class=

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akposevictor akposevictor

08-05-2021

Answer:

m<GED = 126°

Step-by-step explanation:

The base angles of an isosceles are equal.

This implies that:

m<FEG = m<F

Thus:

m<F = ½(180° - 72°)

m<F = ½(108°)

m<F = 54°

Based on the exterior angle theorem, we have the following equation:

m<F + m<FGE = m<GED

Substitute

54° + 72° = m<GED

126° = m<GED

m<GED = 126°

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