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

Otras preguntas

42 divided by 7 equals to?
what does the term terraced dynamics mean
A 16-ounce bottle of spring water is $1.76. A 20-ounce bottle of fresh water is 2.40. Which statement about the unit prices is true?
eric and his work crew have 50 trees to plant. in 8 hours today, they planted 40 trees. if they work at the same rate tomorrow, how long will it take to finish
1 5/7 to 2 2/3 ratio as a fraction in lowest terms
Which of the following words has a positive connotation? lonely excursions freedom discouraging
In how many ways can 5 different books be arranged on a shelf? 5 24 120
help this is the question not the other one
X/-2=4, X/3+13=13, Z/2+2=4 plz show ur work and explain how u did it
which type of cloud is also called a thunderhead