Question

In Fig. AB||CD. Find the value of X
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Answer 1

Step-by-step explanation:

If we take a line between the two parallel lines as EF(as an example)

Then, 180°-108°

=72°

And, 180°-112°

=68°

So, (72+68)°

140°

Hence, the answer is 140°

Answer 2

Construction:

Draw a line EF such that AB||EF

108°+a = 180° (co interior angles)

a = 180-108

a = 72°

AB||CD AB||EF CD||EF

(Lines parallel to same line are parallel to each other)

b + 112° = 180° (co interior angles)

b = 180°-112°

b = 68°

x = a+b

x = 72° + 68°

x = 140°