Find the value of x and y

Question

asked Mar 15, 2019 29.0k views

2 Answers

Chris Roberts · Answer 1 · 2019-03-20T00:20:35+0000

Answer:

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.