Question

In the following figure, if L1 and L2 are parallel, what is the value of X: a) 45/2 b) 30 c) 45 d) 60

Answer 1

Answer:

X =45°

Given:

In Fig. 9.49, if l1 || l2

Find:

The value of x.

Explanation:

If two lines are parallel to each other and other line is intersecting then sum of angles between the line of same side should be 180 degree.

That is from figure.

a+a+b+b =180 °

2(a+b) = 180°

(a+b) = \frac{180}{2}

2

180

=90°

From given figure sum of angles of tangle = 180°

consider third angle of tangle is y°

so from property of tangle,

y° + (a+b) = 180°

y° = 180-90 =90°

From property of line,

x + x + y = 180°

2 × x = 180-90 =90°

X =45°

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