Question

What is the value of x in the isosceles trapezoid below?

Answer 1

C.
`x=10`

Explanation:

We have been given an image of an isosceles trapezoid. We are asked to find the value of x.

Since we know that opposite angles of an isosceles trapezoid are supplementary. So we can set an equation as:

`m\angle A+m\angle C=180^o`

Upon substituting our given values in above equation we will get,

`3x+10+14x=180`

`17x+10=180`

`17x+10-10=180-10`

`17x=170`

Upon dividing both sides of our equation by 17 we will get,

`(17x)/(17)=(170)/(17)`

`x=10`

Therefore, the value of x is 10 and option C is the correct choice.