1.

In the figures given below AB||CD. EF is the transversal intersecting AB and CD at G and H respectively. Find the values of x and y. Give reasons

Answer»

Hi ,

It is given that ,

AB // CD , EF is the transversal .

i )
y = 3x ----( 1 )


2x + y = 180---( 2 )

2x + 3x = 180 [ from ( 1 ) ]

5x = 180

x = 180/5

x = 36°

Put x value in equation ( 1 ) , we get

y = 3 × 36 = 108°

ii )
2x + 15 = 3x - 20

15 + 20 = 3x - 2x

35 = x

x = 35°

iii )
[ Sum of interior angles same side of the

transversal ]

4X - 23 + 3x = 180°

7x = 180 + 23

7x = 203°

x = 203/7

x = 29°

I hope this HELPS you.

: )


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