Find the value of each variable

Question

asked Dec 4, 2021 117k views

1 Answer

Chuck Bergeron · Answer 1 · 2021-12-07T23:41:08+0000

Answer:

Therefore,

$x=28\\\\y=28$

Explanation:

First label the diagram Such that

∠ABE = 90°

∠DBE = 62°

∠DBC = 90°

∠ABD = x°

∠EBC = y°

To Find:

x = ?

y = ?

Solution:

By Angle Addition Property we have

$\angle ABE=\angle ABD +\angle DBE$

Substituting the values we get

$90=x+62\\\\\therefore x=90-62=28\\\\x=28$

Similarly,

$\angle DBC=\angle EBC +\angle DBE$

Substituting the values we get

$90=y+62\\\\\therefore y=90-62=28\\\\y=28$

Therefore,

$x=28\\\\y=28$