Respuesta :

Answer:

Yes

Step-by-step explanation:

The two angles that are both acute (B and C in this case) add up to 90 degrees. That's because a right triangle has 1 angle that = 90 and every triangle has 180 degrees.

<B + <C + 90 = 180

<B + <C = 180 - 90

<B + <C = 90

Equation

2x + 15 + 5x - 2 = 90       Collect like terms

Solution

7x + 13 = 90                      Subtract 13 from both sides

7x = 90 - 13                       Subtract

7x = 77                               Divide by 7

x = 77/7                              Divide

x = 11                                  Substitute

<B

<B  = 2x + 15

<B = 2*11 + 15

<B = 37  which makes your answer right

B. Is correct


37°


Hope it helps