Solve the problem.
-The sum of the angles of a triangle is 180°. Find the three angles of the triangle if one angle is twice the smallest angle and the third angle is 12° greater than the smallest angle.
A)36°, 72°, 72°
B)36°, 48°, 96°
C)42°, 84°, 54°
D)34°, 68°, 78°

Question

Quizplus · Accepted Answer

Let the smallest angle be x. The second angle is twice the smallest, so it's 2x. The third angle is 12° greater than the smallest, so it's x + 12°. The sum of the angles in a triangle is 180°, so x + 2x + (x + 12) = 180. Solving this equation gives x = 42°, making the angles 42°, 84°, and 54°.

Solve the Problem. -The Sum of the Angles of a Triangle Is 180°