# 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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