TBQ - Prove that the following — task. Maths CBSE Live product, Class 10 (2026-27).

In the given figure, \(OA \cdot OB = OC \cdot OD\). Show that \(\angle A = \angle C\) and \(\angle B = \angle D\).

Proof:

Given: \(OA \cdot OB = OC \cdot OD\)

\(\frac{OA}{OC}\ =\)

\frac{i}{i}

\( \rightarrow (1) \)

Also \( \angle AOD\ =\)

∠ i

(Vertically opposite angles are equal) \( \rightarrow (2) \)

From (\(1) \) and \( (2)\) ,

\( \triangle AOD \sim \)

Δ i

[ similarity criterion ]

We know that "Corresponding angles of similar triangles are equal".

So, \(\angle A\ =\)

∠ i

and \(\angle D\ =\)

∠ i

Did you find an error?

1. TBQ - Prove that the following