Question

∠E and ∠F are vertical angles with m∠E = 8x + 8 and m∠F = 2x + 38. What is the value of x?

Answer 1

the value of x is 5....

Answer 2

Answer: The value of x = 5

Explanation:

Given : ∠E and ∠F are vertical angles m∠E = 8x + 8 and m∠F = 2x + 38.

We know that the vertical angles are congruent.

It means
`\angle{E}\cong\angle{F}`

`\Rightarrow\ m\angle{E}=\ m\angle{F}`

`\Rightarrow\ 8x+8=2x+38`

Subtract 2x and 8 from both sides , we get

`6x=30`

Divide both sides by 6 , we get

`x=5`

Hence, the value of x = 5