Explanation
Correct answer: B.
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 .
Desmos solution:
Note: Evaluate 180 − 90 − 51, which gives the other acute angle directly.
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect and may result from conceptual or calculation errors.
Choice C
Choice C is incorrect and may result from conceptual or calculation errors.
Choice D
Choice D is incorrect. This is the measure, in degrees, of the acute angle whose measure is given.