Question

Find the value of each variable

Answer 1

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`