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If the difference between the measures of the two acute angles of...

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Question:
If the difference between the measures of the two acute angles of a right triangle is 20°, what is the measure, in degrees, of the smaller one?

Option A):
35°
Option B):
20°
Option C):
45°
Option D):
55°

Correct Answer is Option A):
35°

Explanation:
Solution:
Draw a picture, label it, and then write the equations:
a + b = 90° and a - b = 20°

By adding the equations, we get 2a = 110°. So a = 55° and b = 90° - 55° = 35°. The measure of the smallest angle is 35°.

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