One of the angles of the parallelogram is 10 degrees less than the other.
| September 2, 2021 | education
One of the angles of the parallelogram is 10 degrees less than the other. Find the degree measure of the acute angle of the parallelogram.
Let’s denote the acute angle of the parallelogram as A, then the obtuse angle is equal to A + 10 °. The sum of the angles of the parallelogram adjacent to one of the sides is 180 °.
That is: A + (A + 10 °) = 180 °, 2 * A + 10 ° = 180 °.
Find an acute angle A from the equation:
2 * A = 170 °, A = 85 °, A + 10 ° = 95 °.
Answer: The acute angle of the parallelogram is 85 °.
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