Answer:
70°
Explanation:
You want to know the measure of the second acute angle in a right triangle that has one acute angle measuring 20°.
Angle sum theorem
The angle sum theorem tells you the sum of angles in a triangle is 180°. The square box in the corner of this triangle tells you that is a right angle that has a measure of 90°. Then the sum of angles is ...
20° +90° +x = 180°
x = 180° -110° = 70°
The measure of unknown angle x is 70°.
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Additional comment
Since the measure of a right angle is always 90°, the sum of the measures of the two acute angles in a right triangle is 180°-90° = 90°. That is, they are complementary.
x = 90° -20° = 70°
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