One corner is 20 degrees larger than the other. find all the corners.

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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