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Lines, angles, and triangles SAT question

Math · Geometry and Trigonometry · Easy · Answer it here, explanation included.

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

ExplanationShow

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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