Angle A and angle B are complementary angles. If m angle A = (6x – 8)° and m angle B = (5x + 21)°, then find the measure of angle B.

B = 56 degrees

Step-by-step explanation: Complementary angles add up 90 degrees. So we will set both of the equations equal to 90 degrees and then solve from there.

6x+8+5x+21=90

1. Simplify 5x + 6x and 21 - 8

11x+13=90

2. Subtract 13 from both sides.

11x=90-13

3. Simplify 90-13 to 77.

11x=77  

4. Divide both sides by 11.

x = 77/11

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5. Simplify 77/11 to 7

 x=7

Now we have to take the value of x and substitute it back into B = (5x+21)

1. Substitute

B = (5(7)+21)

B = 35 +21

B = 56

HOPE THIS HELPS :)

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value