# Find the sharp corners of a right triangle if one of them is 20 degrees larger than the other.

October 10, 2021 | education

| Find the sharp corners of a right triangle if one is 20 degrees larger than the other.

Given: a right-angled triangle, the angles will be 1, 2, 3; let angle 3 be a straight line (90 °), and angle 1 is greater than angle 2 by 20 °.

Find: the magnitude of the angle 1 and the magnitude of the angle 2.

Solution: The angles in the triangle add up to 180 degrees. 1 + 2 + 3 = 180o; 1 + 2 = 180o – 90o = 90o; suppose the angles are 1 = 2, then 1 + 2 = 90 ° + 20 ° = 110 °, which means angle 1 = 110 °: 2 = 55 °, and angle 2 = 90 ° – 55 = 35 °.

Answer: one angle is 55 °, and the second angle is 35 °.

You can calculate the magnitude of the angles in different ways.

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