Question

In the given figure, TS || PR, ∠PRQ = 45° and ∠TQS = 75°. Find ∠TSQ.

• A. 90°
• B. 60°
• C. 30°
• D. 45°

Answer 1

Answer:

B. 60°

Solution:

Given:

TS || PR, ∠PRQ = 45° and ∠TQS = 75°

Calculations:

We know, ∠PRQ = 45°

By the definition of alternate angles ∠PRQ = ∠QTS = 45°

Therefore, 

⇒ ∠TSQ = 180° - (∠TQS + ∠QTS)

⇒ ∠TSQ = 180° - (75° + 45°)

⇒ ∠TSQ = 180° - 120° 

⇒ ∠TSQ = 60° 

Hence, the correct answer is 60°.