One of the corners of a right-angled triangle is 38 degrees, find the average angle of this triangle.
| February 9, 2021 | education
The sum of the angles of any triangle is 180 degrees (the theorem about the sum of the angles of a triangle), since we are given a right-angled triangle, then one of its angles is 90 degrees (the degree measure of a right angle). So, to find the third corner of a triangle, you need to subtract the sum of two known angles from the sum of all angles:
180 – (90 + 38) = 180 – 128 = 52.
Since 38 <52 <90, the angle equal to 52 degrees is the average angle of this triangle.
Answer: 52 degrees.
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