Question

In the figure, AB ||CD and CD ||EF. Also, EA ⊥ AB if angle BEF = 55°, F ind the values of x, y and z.

Answer 1

Solution:

angle z = 90 - 55 = 35 degree.

angle x = 180 - (90+35) = 55 degree.

180-55 = 125 degree.

angle y = angle x = 125 degree

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Answer 2

$\bf{\underline{Given}}:-$

• 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°.