Question

Determine the value of x.

4x + 10

7x+5

A. x=10

B. x= 15

C. x= -0.6

D. x=58.3

Answer 1

B. x = 15

Explanation:

the outer angle is half of the difference between the outer arc angle and the inner arc angle.

4x + 10 = ½((360 - (7x + 5)) - (7x + 5))

as the outer arc angle is 360 - (7x + 5).

and the inner arc angle is (7x + 5)

so, we have

4x + 10 = ½(360 - 7x - 5 - 7x - 5) = ½(360 - 14x - 10) =

= ½(350 - 14x) = 175 - 7x

11x = 165

x = 165/11 = 15