Find adjacent angles if their difference is 28 degrees.

Let’s solve this problem using the equation.
Let the first of the adjacent angles be x degrees, then the second of the adjacent angles is (x + 28) degrees. We know that the sum of the degree measures of adjacent angles is 180 degrees. Let’s make the equation:
x + x + 28 = 180;
x + x = 180 – 28;
x + x = 152;
x * (1 + 1) = 152;
x * 2 = 152;
x = 152: 2;
x = 76 degrees – the degree measure of the first of the adjacent angles;
28 + 76 = 104 degrees is the degree measure of the second of the adjacent angles.
Answer: 76 and 104 degrees.



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