Question

Solve for the two acute angles

Answer 1

Answer:

Angle A = 37 degrees, and Angle B = 53 degrees.

Step-by-step explanation:

We know that this is a right triangle, where angle C is 90 degrees. Since we know the sum of all these angles is 180 in any triangle, we can create an equation.

Angle A = 6x + 7

Angle B = 11x-2

Angle C = 90 degrees

A + B + C = 180

Substitute:

6x + 7 + 11x - 2 + 90 = 180

17x + 5 + 90 = 180

17x + 5 = 90

17x = 85

x = 5

Now substitute 5 for x in both acute angles and you will get your answer.

Angle A = 6(5) + 7

Angle A = 30 + 7

Angle A = 37

Angle B = 11(5) - 2

Angle B = 55 - 2

Angle B = 53

Angle A = 37 degrees, and Angle B = 53 degrees.

Hope this helps.