Question

\(△ABC∼△PQR; \ ∠P=60°,\ ∠Q=75°\) then, \(∠A=\) _____ .

• A. 90°
• B. 75°
• C. 40°
• D. 60°

Answer 1

The Correct Option is D

To solve the problem, we use the properties of similar triangles.

1. Understanding the Concept:

Given that $ \triangle ABC \sim \triangle PQR $, their corresponding angles are equal:

$ \angle A = \angle P $, $ \angle B = \angle Q $, $ \angle C = \angle R $

2. Given:

$ \angle P = 60^\circ $, $ \angle Q = 75^\circ $

Since $ \angle A = \angle P $,

$ \angle A = 60^\circ $

Final Answer:

The value of $ \angle A $ is $ {60^\circ} $