Question

In the given figure, ΔАВС ~ ΔRPQ, then ∠Q is equal to ______.

Options

• 70°

• 60°

• 50°

• 80°

Answer 1

In the given figure, ΔАВС ~ ΔRPQ, then ∠Q is equal to 50°.

Explanation:

Since △ABC ∼ △RPQ, the order of letters tells us the correspondence:

A↔R, B↔P, C↔Q

In △ABC:

∠A = 70°, ∠B = 60°

So,

∠C = 180° − (70° + 60°) = 50°

Because corresponding angles in similar triangles are equal:

∠Q = ∠C = 50°