Question

In a right triangle, the measures of the two smaller angles are (3x+6) and (2x - 1)º. Find the measure of the smallest

angle in the triangle.
A. 170
B. 33°
C. 570
D. 90°

Answer 1

B is the answer

Explanation:

Since there is already a 90 degree angle in the right triangle, the other two angles must add up to 90.

`3x + 6 + 2x - 1 = 90`

`5x + 5 = 90`

`5x = 85`

`x = 17`

Plug 17 into both to find the smaller angle

`3(17) + 6 = 57`

`2(17) - 1 = 33`

`33 < 57`

So 33 is the answer or B