Question

In the given figure EF║CD. Find x and y.

Answer 1

We know that EF || CD

So, Angel c and x are corresponding angles and corresponding angles are equals.

Hence, angle c = x

so, x= 80°

In ∆ABC

angleB= 45°

angle c = 100° { as angle x and c are forming linear pair nd linear pair is supplementry}

Y= 360-(100+45) {Angle sum property of a triangle}

= 360-145= 215°

Therefore the value of x is 80° and of y is 215°

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Answer 2

Answer:

EF||CD. EB is the transversal

angle E = angle x. _ _ _ _ _ ( corresponding angle)

= X = 80

X + C = 180 _ _ _ _ _ ( angle in liner pair )

80 + C = 180

C = 180- 80

C= 100

= by using angle sum property of triangle

C + B + Y = 180

100 + 45 + Y = 180

Y = 180 - 145

Y = 35