One of the adjacent angles is 24 degrees larger than the other, find the smallest angle.
February 26, 2021 | education
| Let’s solve this problem using the equation.
Let the smaller of the adjacent angles be x degrees, then the larger of the adjacent angles is (x + 24) degrees. We know that the sum of the degree measures of adjacent angles is 180 degrees. Let’s make the equation:
x + x + 24 = 180;
x + x = 180 – 24;
x + x = 156;
x * (1 + 1) = 156;
x * 2 = 156;
x = 156: 2;
x = 78 degrees – the degree measure of the smaller of the adjacent angles;
Answer: 78 degrees.
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