# In the KLM triangle, the angle is 24 degrees and the angle B is 2 times the angle A

September 29, 2021 | education

| **In the KLM triangle, the angle is 24 degrees and the angle B is 2 times the angle A Find the degree measure of the angle N and Determine the type of triangle.**

Given:

triangle АNВ,

angle B = 2 * angle A,

angle АNВ = 24 degrees.

Find the degree measures of angles: angle A, angle B -?

Solution:

Consider the triangle AMN.

Let the degree measure of angle A is equal to x degrees, then the degree measure of angle B is equal to 2 * x degrees. We know that the sum of the degree measures of a triangle is 180 °. Let’s make the equation:

x + 2 * x + 24 = 180;

x + 2 * x = 180 – 24;

x + 2 * x = 156;

3 * x = 156;

x = 156: 3;

x = 52 ° – the degree measure of the angle A;

52 * 2 = 104 ° – degree measure of angle B.

Answer: 104 °; 52 °.

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