We have 2 angles that are supplementary, so their sum equals 180⁰.
(4x - 10) + (7x - 8) =180
11x - 18 = 180
11x = 198
x = 18
Assuming you want the value of x:
The angles are on a straight line which means they must add up to 180 degrees. Make this into an equation.
(4x - 10) + (7x - 8) = 180
Combine like terms.
Add 18 to both sides.
Divide both sides by 11.
If you want the measurements of the angles, plug x into the angles.
4x - 10 ⇒ 4(18) - 10 = 62°
7x - 8 ⇒ 7(18) - 8 = 118°
Answer: The answer is A: 8/5
Step-by-step explanation: correct on e2020