Question

Triangle G E F is shown with its exterior angles. Line G F extends through point B. Line F E extends through point A. Line E G extends through point C. Angles F E G and E G F are congruent. Sides E F and G F are congruent. Angle E F G is 50 degrees.
What is the measure of ∠EGF?

°?

What is the measure of ∠CGF?

°?

Answer 1

The measure of angle ∠EGF is 65°. And the measure of the angle ∠CGE is 115°.

What is the triangle?

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

Triangle GEF is shown with its exterior angles.

Line GF extends through point B.

Line FE extends through point A.

Line EG extends through point C.

Angles ∠FEG and ∠EGF are congruent.

∠FEG = ∠EGF = x

Sides EF and GF are congruent.

Angle ∠EFG is 50° degrees.

∠EFG + ∠FGE + ∠GEF = 180°

                  50° + x + x = 180°

                               2x = 130°

                                 x = 65°

∠FEG = ∠EGF = 65°

Then angle ∠CGF will be

∠CGF + ∠FGE = 180°

   ∠CGF + 65° = 180°

             ∠CGF = 115°

More about the triangle link is given below.

brainly.com/question/25813512

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