Find the corners of a rhombus if angle A is four times less than angle B.
February 15, 2021 | education
| 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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