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I need help with finding angle measurements in an isosceles trapezoid

I need help with finding angle measurements in an isosceles trapezoid-example-1
User Denton
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1 Answer

5 votes
5 votes

In an isosceles trapezoid, the base angles are congruent, so the angle ∠1 is congruent to the angle 88°, so we have ∠1 = 88°.

Also, In any trapezoid, the consecutive angles in each base are supplementary, so we have:


\begin{gathered} 88+\angle3=180 \\ \angle1+\angle2=180 \end{gathered}

Solving these equations for ∠2 and ∠3, we have:


\begin{gathered} 88+\angle3=180 \\ \angle3=180-88 \\ \angle3=92 \\ \\ \angle1+\angle2=180 \\ 88+\angle2=180 \\ \angle2=180-88 \\ \angle2=92 \end{gathered}

So we have that ∠2 = 92° and ∠3 = 92°.

User Ebrown
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