Question

In the following figures, find x.
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Answer 1

${\huge{\underline{\boxed{\red{\mathcal{Answer}}}}}}$

To Find:

• Value of x

Solution:

As we can see, the angles AOD and BOC are vertically opposite angles.

When 2 lines cut each other, then the angles vertically opposite to each other are equal. So,

$:\implies Angle AOD = Angle BOC \\:\implies 115 = 2x - 25 \\:\implies 2x = 115+25 \\:\implies 2x = 140 \\:\implies x = 140/2 \\\bf{:\implies x = 70}$

Hope it helps!!