Question

What is the answer to what X is?

Answer 1

x = 3 is the answer.

Explanation:

We have given a triangle.

We have to find the value of x in the triangle.

As we know that:

Exterior angle =sum of opposite interior angles

In the figure, the Exterior angle = 45x

And the sum of opposite interior angles = (25x)(57+x)

45x = (25x)+(57+x)

45x = 25x+57+x

45x-25x-x = 57

45x-26x = 57

19x = 57

x= 57/19

x = 3 is the answer.

Answer 2

`x=3`

Explanation:

By the exterior angle theorem,

`(45x)\degree=(57+x)\degree+(26x)\degree`

Group like terms and solve for x.

`45x-26x-x=57`

`19x=57`

Divide both sides by 19;

`x=3`