# The degree measure of the angle ABC is 48 °. Beam BK is drawn inside the corner. Find the degree measures

September 28, 2021 | education

| **The degree measure of the angle ABC is 48 °. Beam BK is drawn inside the corner. Find the degree measures of the angles ABK and SBC, if the degree measure of the angle ABK is three times larger than the degree measure of the angle СBC**

Let’s denote the degree measure of the СBK angle through X degrees, then the ABK angle will be equal to 3 * X degrees. Let’s compose and solve the equation:

X + 3 * X = 48;

4 * X = 48;

X = 48/4 = 12.

3 * X = 12 * 3 = 36.

Answer: the degree measure of the СBK angle is 12 °, and the degree measure of the ABK angle is 36 °.

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