Question

In the figure given, AB || CD and CA = CE. If angle ACE= 74° and angle BAE= 15°, find the values of x and y.​

Answer 1

Answer:

In the figure given, AB || CD and CA = CE. If angle ACE= 74° and angle BAE= 15°, find the values of x and y.

Answer 2

Answer:

x = 127 y = 38

Step-by-step explanation:

in ∆ ACE

angle A = angle E ( angle opposite to equal sides)

let it be a

a+a+74= 180 (angle sum)

2a= 180-74

a= 106/2

a= 53

angle CEA = 53

angle AEB = 180-angle CEA (linear pair)

x=180-53

x= 127

in ∆ ABE

15+127+ABE= 180 (angle sum)

angle ABE= 180-142

= 38

BCD = ABE ( alternate angles)

y=38