Question

In the given figure if a b is parallel to CD find angle x and y . If a is 109 degree and b is 115 degree

Answer 1

Step-by-step explanation:

Given ,

AB //CD ,B=115, A=109

for finding

first draw a transversal line PQ

angle Axp = 109 (data)

therefore angle pxc = 180-109 =71(linear pair )

therefore angle CxB = angle PXA (theorem 6.1)

therefore angle CXY = 109

Also, angle PXC = angle AXY (theorem 6.1)

therefore X = Y

therefore 109=109