One of the adjacent corners is 8 times smaller than the other. Find a large angle.
August 17, 2021 | education
| 1. Let’s denote the degree measure of the smaller angle through x.
2. Determine the degree measure of the larger angle:
8 * x = 8x.
3. Proceeding from the fact that the sum of adjacent angles is equal to 180˚, compose and solve the equation:
8x + x = 180˚;
9x = 180˚;
x = 180˚: 9;
x = 20˚.
4. The degree measure of the smaller angle is 20˚.
5. What is the degree measure of the larger angle?
8 * 20˚ = 160˚.
Answer: The degree measure of the larger angle is 160˚.
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