Need help on this one pls

The value of x is 18°.

Step-by-step explanation:

If I remember correctly, I believe the sum of opposite angles 89° and 51° are also the sum of the angles (5x - 8)° and (3x + 4)°. So, going off that..

If 89° + 51° = 140°; then (5x - 8)° + (3x + 4)° = 140.

(5x - 8)° + (3x + 4)° = 140

8x - 4 = 140°                               Combine like terms

   + 4   +   4                                Add 4 to both sides

8x = 144

8        8                                       Divide both sides by 8

x = 18°

Hope this helps,

~ Nicki ~

are you an artist's daughter? cuz dang you a fine piece of art, girl.

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value