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Geometry and Trigonometry Difficulty: Easy

In a right triangle, the measure of one of the acute angles is $51 degree$ . What is the measure, in degrees, of the other acute angle?

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Explanation

Choice B is correct. The sum of the measures of the interior angles of a triangle is $180$ degrees. Since the triangle is a right triangle, it has one angle that measures $90$ degrees. Therefore, the sum of the measures, in degrees, of the remaining two angles is $180 minus 90$ , or $90$ . It’s given that the measure of one of the acute angles in the triangle is $51$ degrees. Therefore, the measure, in degrees, of the other acute angle is $90 minus 51$ , or $39$ .

Choice A is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect. This is the measure, in degrees, of the acute angle whose measure is given.