In a right triangle, the measure of one of the acute angles is 51 ° . What is the measure,

Question

In a right triangle, the measure of one of the acute angles is 51 &#176; . What is the measure, in degrees, of the other acute angle?

Accepted Answer

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 - 90 , or 90 . It&rsquo;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 - 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.

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