Question

Q.18) If AB || CD and CD EF. Also EA 1 AB. If ZBEF=55°, find the values of x, y and z.
zXE
55°
B​

Answer 1

given :

AB || CD and CD || EF and BE is a transversal

EA ⊥ AB and ∠BEF = 55°

To find :-

The value of x,y and z

Solution :-

we know that, interior angle on the same side of the transversal are 180°

y + 55° = 180°

y = 180°- 55°

y = 125°

y = x

AB || CD , corresponding angle

so,

x = 125°

Now,

∠ EAB + ∠ FEA = 180°

90° + (z + 55) = 180°

145° + z = 180°

z = 180° - 145°

z = 35°

Hence,the value of x ,y and z will be 125° , 125° and 35°.

~~Anushka Here