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The sum of the measures of the angles of any triangle is 180 degrees. In triangle​ ABC, angles A and B have the same​ measure, while the measure of angle C is 81 degrees larger than each of A and B. What are the measures of the three​ angles?



Answer :

The measure of the angles are  ∠A = 33°  ,   ∠B = 33° and   ∠C = 114°

Supplementary angles are the angles whose sum is equal to [tex]180^{o}[/tex].

According to the question we have been given that the three angles that is ∠A , ∠B and ∠C are the supplementary angles that is their sum is 180°.

Let the measure of ∠A = x = ∠B

and the measure of ∠C = 81 + x

Now,

      ∠A + ∠B + ∠C = 180°

Putting the required values we get

        x° + x° + (81 +x )° = 180°

        2x° + 81° + x° = 180°

             3x° = 99°

               x° = 33°

Hence the measure of three angles are

       ∠A = 33°  ,   ∠B = 33° and   ∠C = 114°

Learn more about supplementary angles here : https://brainly.com/question/2046046

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