Question

Find the value of x and y

Answer 1

The answer is B. x= 62; y=30. 

Answer 2

B.
`x=62`;
`y=30`

Explanation:

We have been given two similar triangles. We are asked to find the value of x and y for the given triangles.

`\Delta SWK\sim \Delta EBT`

We know that the measure of corresponding angles of two similar triangles are equal.

`m\angle S=m\angle E`

`m\angle W=m\angle B`

`m\angle K=m\angle T`

`110=2x-14`

`2x-14=110`

`2x-14+14=110+14`

`2x=124`

`(2x)/(2)=(124)/(2)`

`x=62`

`m\angle S=m\angle E`

`40=m\angle E`

Using angle sum property, we will get:

`m\angle E+m\angle B+m\angle T=180`

`40+y+110=180`

`y+150=180`

`y+150-150=180-150`

`y=30`

Therefore, option B is the correct choice.