Question

in the given figure lines AB and CD intersect at O. find the value of x.
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Answer 1

Answer:

x = 15

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Answer 2

Given: line AB and CD intersect each other.

TO find: the value of x.

Solution:

Observe, the given figure.

Know that, both the angles $\[\angle AOD\]$ and $\[\angle DOB\]$ lie on the straight line and sum of the angle in a straight line is always 180 degrees.

Find the value of x.

$\[\begin{array}{l}\angle AOD + \angle DOB = {180^ \circ }\\ \Rightarrow 7x + 5x = {180^ \circ }\\ \Rightarrow 12x = {180^ \circ }\\ \Rightarrow x = \frac{{{{180}^ \circ }}}{{12}}\\ \Rightarrow x = {15^ \circ }\end{array}\]$

Hence, the value of x is $\[{15^ \circ }\]$.