One corner is 20 degrees larger than the other. find all the corners.
February 19, 2021 | education
| 1. Let’s denote the degree measure of the smaller angle through x.
2. Define the degree measure of the larger angle:
(x + 20).
3. Since the angles are adjacent, then we compose and solve the equation:
(x + 20) + x = 180;
x + 20 + x = 180;
2x + 20 = 180;
2x = 180 – 20;
2x = 160;
x = 160: 2;
x = 80.
4. The degree measure of the smaller angle is x = 80.
5. What is the degree measure of the larger angle?
80 + 20 = 100.
Answer: the required angles are 80 and 20.
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