Question

4 times the measure of the complement of an angle is equal to 2/3 the measure of the original angle's supplement. What is the measure of the angle?

Answer 1

18°
48°
72°
108°

Answer 2

@mathstudent55

Answer 3

@Keigh2015

Answer 4

Let the angle be x.

Complement of x = 90 - x

Supplement of x = 180 - x

4(90 - x) = 180 - x

Find x from this...

Answer 5

so i distribute it

Answer 6

yeah but tell me what you get before you turn it in

Answer 7

so it would B

Answer 8

No

Answer 9

how would i solve for X

Answer 10

let the angle be x.
then
complement of that = 90-x
so, 4 times of complement = 4(90-x)
2/3 of original angle's supplement= 2/3 (180-x)
so,
4(90-x)= 2/3 (180-x)
cross multiply:
12(90-x) = 360 - 2x
12*90 - 12x = 360 - 2x
1080- 360= 12x-2x

Answer 11

Now you have to figure out the last part to get your answer

Answer 12

C!

Answer 13

thank yyou !

Answer 14

Correct

Answer 15

Your welcome

Answer 16

angle is x
complement is 90 - x
supplement is 180 - x

Now we follow the directions:
4 times the measure of the complement means
4(90 - x)

that is equal to 2/3 of the supplement which means
(2/3)(180 - x)

\(4(90 - x) = \dfrac{2}{3}(180 - x) \)

Answer 17

ty @mathstudent55 but i got it ! thank you for the help tho !

Answer 18

You're welcome