Find the corners of a rhombus if angle A is four times less than angle B.

1. Let’s denote the degree measure of the angle A through x.

2. Determine the degree measure of the angle B:

4 * x = 4x.

3. By the property of the angles of the parallelogram, angle A + angle B = 180, we compose and solve the equation:

x + 4x = 180;

5x = 180;

x = 180: 5;

x = 36.

4. The degree measure of angle A is 36.

5. What is the degree measure of angle B?

4 * x = 4 * 36 = 144.

6. Angle C = angle A = 36.

7. Angle B = angle D = 144.

Answer: The angles of the rhombus are 36, 144, 36, 144.



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