One of the adjacent angles is 28 ° smaller than the other. Find these corners.
January 9, 2021 | education
| 1. Let us denote the degree measure of the smaller of the adjacent angles by x.
2. Define the degree measure of the larger angle:
(x + 28˚).
3. Since the sum of adjacent angles is 180˚, compose and solve the equation:
(x + 28˚) + x = 180˚;
x + 28˚ + x = 180˚;
2x + 28˚ = 180˚;
2x = 180˚ – 28˚;
2x = 152˚;
x = 152˚: 2;
x = 76˚.
4. The degree measure of the smaller of the adjacent angles is x = 76˚.
5. What is the degree measure of the larger angle?
x + 28˚ = 76˚ + 28˚ = 104˚.
Answer: the degree of the smaller angle is 76˚, the degree of the larger angle is 104˚.
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