Find the undeveloped corners formed at the intersection of two straight lines if one of them is 64 ° less than the other.
October 10, 2021
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 + 64 degrees. We know that the sum of the degree measures of adjacent angles is 180 degrees. Let’s make the equation:
x + x + 64 = 180;
x + x = 180 – 64;
x + x = 116;
x * (1 + 1) = 116;
x * 2 = 116 (in order to find an unknown factor, you need to divide the product by a known factor);
x = 116: 2;
x = 58 degrees – one of the adjacent angles;
58 + 64 = 122 degrees is the second of the adjacent corners.
Answer: 58 degrees; 122 degrees; 58 degrees; 122 degrees.
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