Angles M and K are adjacent. Angle K is 24 less than angle M. Calculate the degree measures of the angles.
| September 27, 2021 | education
By the condition of the problem, the sum of the angles M and K is 180 ° – adjacent. Let <M be x, then <K is (x – 24). Let’s compose and solve the equation:
x + (x – 24) = 180;
2x – 24 = 180;
2x = 204;
x = 204: 2;
x = 102.
Determined that <M = 102 °. We calculate the degree measure <K:
(x – 24) = 102 – 24 = 78 °.
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