One of the adjacent angles is 40 degrees larger than the other. Find these corners.
January 3, 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 + 40˚).
3. Since the sum of adjacent angles is equal to 180˚, compose and solve the equation:
(x + 40˚) + x = 180˚;
x + 40˚ + x = 180˚;
2x + 40˚ = 180˚;
2x = 180˚ – 40˚;
2x = 140˚;
x = 140˚: 2;
x = 70˚.
4. The degree measure of the smaller of the adjacent angles is x = 70˚.
5. What is the degree measure of the larger angle?
x + 40˚ = 70˚ + 40˚ = 110˚.
Answer: The degree of the smaller angle is 70˚, the degree of the larger angle is 110˚.
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