9)
If l||m and jik,
find the value of y.
(6y + 7)°
1
(5x)
(7x + 24°
m
k
A 7
B) 13
C) 18
D) 65
jump roping
spinning in circles
eating gummy bears
finger painting

9 If lm and jik find the value of y 6y 7 1 5x 7x 24 m k A 7 B 13 C 18 D 65 jump roping spinning in circles eating gummy bears finger painting class=

Respuesta :

9514 1404 393

Answer:

  C) 18  eating gummy bears

Step-by-step explanation:

The angles indicated with x-expressions are supplementary, so we have ...

  (5x) +(7x+24) = 180

  12x +24 = 180 . . . collect terms

  x +2 = 15 . . . . . . divide by 12

  x = 13 . . . . . . . . . subtract 2

Then the obtuse angle is ...

  7x +24 = 7(13) +24 = 115

__

The angle marked with a y-expression is a corresponding angle to this, so has the same measure.

  6y +7 = 115

  6y = 108 . . . . subtract 7; next divide by 6

  y = 18