jeremyclimaco448 jeremyclimaco448
  • 11-12-2022
  • Mathematics
contestada

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

Respuesta :

mhanifa
mhanifa mhanifa
  • 11-12-2022

Answer:

  • C)  160, 20

-----------------------

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.

Answer Link

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