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Triangle EFG is isosceles.Find the measure of angles

Triangle EFG is isosceles.Find the measure of angles-example-1
User Erin
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As angles opposite congruent sides in a triangle are congruent, and also since the interior angles of a triangle add to 180 degrees, if we let angle EFG have a measure of x, then angle GEF also measures x, and thus:

82+x+x=180

2x=98

x=49

Thus, angle EFG is 49 degrees.

So, by the exterior angle theorem, angle DEG measures 82+49=131 degrees

User Joe Krill
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