One of the acute corners of a right-angled triangle is 53 degrees. Find another sharp corner.

Given:
right-angled triangle ABC,
angle С = 90 degrees,
angle A = 53 degrees,
Find the degree measure of the angle B -?
Decision:
Consider a right-angled triangle ABC. We know that the sum of the degree measures of the angles of a triangle is 180 degrees. Hence:
angle A + angle C + angle B = 180;
angle B = 180 – angle C – angle A;
angle B = 180 – 90 – 53;
angle B = 90 – 53;
angle B = 37 degrees.
Answer: 37 degrees.



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