Answered

Welcome to Westonci.ca, the place where your questions are answered by a community of knowledgeable contributors. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

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.

Sagot :

Answer: 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

​    

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 :)

Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.