Question in-a-r
In a right triangle, the measure of one of the acute angles is . What is the measure, in degrees, of the other acute angle?
In a right triangle, the measure of one of the acute angles is 51 ° .
Medium-difficulty · SAT Math · Lines, Angles, and Triangles — Triangle sum theorem. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.
Answer explanation
Choice B is correct. The sum of the measures of the interior angles of a triangle is degrees. Since the triangle is a right triangle, it has one angle that measures degrees. Therefore, the sum of the measures, in degrees, of the remaining two angles is , or . It’s given that the measure of one of the acute angles in the triangle is degrees. Therefore, the measure, in degrees, of the other acute angle is , or .
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.
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