Question

In the given figure, if ΔOCA ∼ ΔOBD, then ∠OAC is equal to ______.

Options

• 58°

• 55°

• 128°

• 52°

Answer 1

In the given figure, if ΔOCA ∼ ΔOBD, then ∠OAC is equal to 58°.

Explanation:

Step 1: Analyze △OCA ∼ △OBD

From the similarity, the corresponding angles in the two triangles are:

1. ∠OCA = ∠OBD
2. ∠OAC = ∠ODB
3. ∠COA = ∠BOD

Step 2: Identify Corresponding Angles

∠ODB = 58^∘ (given).

Since ∠OAC = ∠ODB (from similarity),

∠OAC = 58^∘.