Question

In a right triangle, if the measures of the other two angles are 2x – 5 and 3x + 10, what are the measures of these two angles?

A. 30° & 60°

B. 29° & 61°

C. 50° & 40°

D. 51° & 39°

Answer 1

Sum of angles in a triangle = 180

2x – 5 + 3x + 10 + 90 = 180
5x + 95 = 180
5x = 85
x = 17

2x – 5 = 2(17)  - 5 = 29
3x + 10 = 3(17) + 10 = 61

Answer: 29° and 61° (Answer B)

Answer 2

Answer: B. 29° & 61°

Step-by-step explanation: