One of the adjacent angles is 52 degrees larger than the other. Find these corners.

Let’s solve this problem using the equation.
Let one of the adjacent angles be x degrees, then the second of the adjacent angles is (x + 52) degrees. We know that the sum of the degree measures of adjacent angles is 180 degrees. Let’s make the equation:
x + x + 52 = 180;
x + x = 180 – 52;
x + x = 128;
x * (1 + 1) = 128;
x * 2 = 128 (in order to find an unknown factor, you need to divide the product by a known factor);
x = 128: 2;
x = 64 degrees – one of the adjacent corners ;;
64 + 52 = 116 degrees is the second of the adjacent corners.
Answer: 64 degrees; 116 degrees.



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