One of the adjacent angles is 24 degrees larger than the other, find the smallest angle.

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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