Question

The measure of the second angle of a triangle is twice as large as the measure of the first measure of the third angle is 30° less than the sum of the measures of the other two angles find measure of each angle

Answer 1

Applying the triangle sum theorem, we have:

First angle measure = 35°

Second angle = 70°

Third angle = 75°

What is the Triangle Sum Theorem?

According to the triangle sum theorem, all angles in a triangle will give a sum of 180 degrees.

First angle measure = x

Second angle = 2x

Third angle = (2x + x) - 30 = 3x - 30

x + 2x + 3x - 30 = 180 [triangle sum theorem]

6x - 30 = 180

6x = 180 + 30

6x = 210

x = 210/6

x = 35

First angle measure = x = 35°

Second angle = 2x = 2(35) = 70°

Third angle = 3x - 30 = 3(35) - 30 = 75°

Learn more about the triangle sum theorem on:

brainly.com/question/7696843

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