In a right triangle, the acute angles measure 2x + 50 and 3x degrees. What is the measure of the smallest angle of the triangle?

A) 10°

B) 24°

C) 40°

D) 50

Question

Mathematics

Arturo Moreno

14 April, 09:45

In a right triangle, the acute angles measure 2x + 50 and 3x degrees. What is the measure of the smallest angle of the triangle?

A) 10°

B) 24°

C) 40°

D) 50

+5

Answers (1)

Know the Answer?

Emiliano Massey · Answer 1

Since this is a right triangle the two acute angles must sum to 90 degrees because a triangle's angles must sum to 180 degrees.

2x+50+3x=90

5x+50=90

5x=40

x=8

So the smallest angle is 3x=3*8=24°

In a right triangle, the acute angles measure 2x + 50 and 3x degrees. What is the measure of the smallest angle of the triangle?A) 10°B) 24°C) 40°D) 50

In a right triangle, the acute angles measure 2x + 50 and 3x degrees. What is the measure of the smallest angle of the triangle?

A) 10°

B) 24°

C) 40°

D) 50