One of the adjacent angles is 54 ° larger than the other. Find adjacent corners.
June 21, 2021 | education
| 1. Let us denote the degree measure of the smaller of the adjacent angles by x.
2. Determine the degree measure of the larger angle:
(x + 54˚).
3. Since the sum of adjacent angles is 180˚, we compose and solve the equation:
(x + 54˚) + x = 180˚;
x + 54˚ + x = 180˚;
2x + 54˚ = 180˚;
2x = 180˚ – 54˚;
2x = 126˚;
x = 126˚: 2;
x = 63˚.
4. The degree measure of the smaller of the adjacent angles is x = 63˚.
5. What is the degree measure of the larger angle?
x + 54˚ = 63˚ + 54˚ = 117˚.
Answer: the degree of the smaller angle is 63˚, the degree of the larger angle is 117˚.
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