Question

please solve this question​

Answer 1

Here is the answer buddy,mark as the brainliest

Answer 2

☯️GIVEN☯️

• AB || CD
• EF $\perp$ CD
• $\angle$ GED = 126°

☯️TO FIND☯️

• $\angle$ AGE = ?
• $\angle$ GEF = ?
• $\angle$ FGE = ?

☯️SOLUTION☯️

$\rm AB \parallel CD \: and \: GE \: is \: transversal.$

Hence,

$\rm \angle AGE = \angle GED \: (alternate \: angle) \\ \rm \angle AGE =126 \degree$

Now,

Since AB is a line

$\rm \angle AGE + \angle FGE =180 \degree \: (linear \: pair) \\ \rm \angle 126 \degree+ \angle FGE =180 \degree \\ \rm \angle FGE =180 \degree - 126 \degree \\ \rm \angle FGE =54 \degree$

Now,

$\rm \angle GED = \angle GEF + \angle FED$

$\rm \angle GEF = \angle GED - \angle FED$

$\rm \angle GEF = 126 \degree - 90\degree$

$\rm \angle GEF = 36 \degree$

$\rm \therefore \angle AGE =126 \degree , \angle FGE =54 \degree , \angle GEF = 36 \degree$