Question

In each of the following figures, find x and y when AB || CD​

Answer 1

Answer:

Using the fact : Sum of all angles of Triangle is 180°.

Answer 2

Step-by-step explanation:

ang BCE= ANG CAB + ANG CBA ---------(REMOTE INTERIOR ANGLE THEOREM)

* ang BCE = 64 + 72

* ANG BCE = 136 ------ (1)

NOW,

AB|| CD -------( GIVEN)

* ang ABC = ang BCD------- ( alternate angles)

* ang BCD = x= 64

Ang BCE = x+y-------(2)

136 = 64 + y........( from 1 and 2)

*y = 136 -64

*y= 72

* x= 64