Question

6. If A and B are supplementary angles

and mA = 8m ZB, find m2 A and m2 B.
[A] 78.75, 11.25
[C] 160, 20
[B] 80, 10
(D) 157.5, 22.5

Answer 1

• C) 160, 20

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Given:

• Angles A and B are supplementary,
• Angle A is 8 times the angle B.

Find the angle measures:

We know supplementary angles sum to 180 deg:

• m∠A + m∠B = 180,

And we are given:

• m∠A = 8 m∠B

Substitute the second equation into the first one and solve for m∠B:

• 8m∠B + m∠B = 180
• 9m∠B = 180
• m∠B = 180/9
• m∠B = 20

Find m∠A:

• m∠A = 8*20
• m∠A = 160

Correct choice is C.