In a ΔABC, ∠A + ∠B = 118°, ∠A + ∠C = 96°. Find the value of ∠A.

A. 36°

B. 40°

C. 30°

D. 34°

Answer: Option D

Solution(By Examveda Team)

According to question,

   ∠A + ∠B = 118°
   ∠A + ∠C = 96°
   ∠A = ?
As we know that
   ∠A + ∠B + ∠C = 180°
   ∠C = 180° - (∠A + ∠B)
   ∠C = 180° - 118°
∴ ∠C = 62°
   ∠A = 96° - 62°
   ∠A = 34°