## The third angle in an isosceles triangle is 32 more than 2 times as large as each of the two base angles. Find the measure of each angle.

Question

The third angle in an isosceles triangle is 32 more than 2 times as large as each of the two base angles. Find the measure of each angle.

Please provide a step by step demonstration on how this problem is solved. Thank you kind Stranger(s)

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2 weeks 2021-09-09T14:09:59+00:00 1 Answer 0

1. Answer: the third angle is 106 degrees.

The base angles are 37 degrees each.

Step-by-step explanation:

In an isosceles triangle, the base angles are equal.

Let x represent the measure of each of the base angles.

The third angle in an isosceles triangle is 32 more than 2 times as large as each of the two base angles. It means that the measure of the third angle would be

(2x + 32) degrees

The sum of the angles inna triangle is 180 degrees. It means that

x + x + 2x + 32 = 180

4x = 180 – 32

4x = 148

x = 37

The third angle is

2x = 32 = (2 × 37) + 32

= 74 + 32 = 106