Question

IN THE GIVEN FIGURE AB||CD ANGLE =80°,ANGLE CEF =45°.
FIND x and Y​

Answer 1

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Given :

• AB || CD

• ∠BAF = 80°

• ∠CEF = 45°

To Find :

• Value of x and y

Solution :

AB || CD and AE is a transversal

So, ∠BAF + x = 180° [ Co-interior Angle ]

➞ 80° + x = 180°

➞ x = 180° - 80°

➞ x = 100°

∠EFC = x = 100° [ Vertically Opposite Angle ]

➞ ∠EFC + ∠CEF + y = 180° [ Angle Sum Property]

➞ 100° + 45° + y = 180°

➞ 145° + y = 180°

➞ y = 180° - 145°

➞ y = 35°