Question

solve the 10 number

Answer 1

From the figure:

Given, two straight lines intersect each other in such a way that one of the angles formed measure 90°.

We know that, lines which intersect to form a right angle (90°) are known as perpendicular lines.

In the given figure, AB is perpendicular to CD.

Considering ∠AOC = 90°.

Now, ∠AOC + ∠AOD = 180° [Linear pair]

⇒ 90° + ∠AOD = 180°

⇒ ∠AOD = 90°

Similarly, ∠AOC + ∠BOC = 180° and ∠BOD + ∠AOD = 180° [Both making linear pair]

So, we get ∠BOC = 90° and ∠BOD = 90°

Hence, ∠AOC = ∠AOD =∠BOC = ∠BOD = 90°