Solve the problem using the elimination method.
-In a right triangle, one acute angle is 54° more than twice the other. Find each acute angle.
A) 12° and 78°
B) 37° and 53°
C) 21° and 69°
D) 28° and 62°

Question

Quizplus · Accepted Answer

The sum of angles in a triangle is 180°, and since it's a right triangle, the two acute angles must sum to 90°. Let x be one acute angle, then the other is 2x + 54°. The equation is x + 2x + 54 = 90. Solving for x gives x = 12°, making the other angle 78°.

Solve the Problem Using the Elimination Method