Question

show that XY LIEF
n n
66
E
6
150
030​

Answer 1

GIVEN :-

• ∠Y = 66°
• ∠E = 150°
• ∠YRE = 36°
• ∠ERS = 36°

TO PROVE :-

• XY || EF.

PROOF :-

For proving XY || EF , Let us considered some properties of parallel lines.

• Alternate Interior angles.
• Corresponding angles.
• co - interior angles.

Now , lets move towards our question.

⇒ ∠R = ∠ERS + ∠YRE

⇒ ∠R = 36° + 36°

⇒ ∠R = 66°.

Now, By alternate interior angle property we have,

⇒ ∠R = ∠Y = 60°.

Now, as we know that "alternate interior angles" is a property of parallel lines .

Hence we proved that,

⇒ XY || EF

Hence Proved.