# One corner of the triangle is 20 degrees larger than the other and 20 degrees less than the third. Find the smaller corner.

July 25, 2021 | education

| To solve the problem, we will compose and solve a linear equation. And let’s start by introducing alternately. So, let one of the angles be x °, then the other two can be written as (x – 20) ° and (x + 20) °.

We apply the theorem on the sum of the angles of a triangle to compose the equation; it says that the sum of all the angles of a triangle is 180 °.

We get a linear equation with one variable:

x + (x – 20) + (x + 20) = 180;

x + x – 20 + x + 20 = 180;

3x = 180;

x = 180/3;

x = 60 °.

60 ° – 20 ° = 40 ° is the degree measure of the smaller angle of the triangle.

Answer: 40 °.

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