Question

In the given figure, If PQ II BC, ∠QPC = 40° and ∠ABC = 57° then find ∠BAC

• A. 52
• B. 43
• C. 83
• D. 34

Answer 1

Answer:

C. 83

Solution: Given: ∠QPC = 40° ∠ABC = 57° Concept: The Sum of all angles in a triangle is 180° Calculation: ∠QPC = ∠ACB = 40° (Alternate angles) ∠ACB + ∠CBA + ∠BAC = 180° (The Sum of all angles in a triangle is 180°) ⇒ 57° + 40° + ∠BAC = 180° ⇒ 97° + ∠BAC = 180° ∴ ∠BAC = 83° The correct option is 3 i.e. 83°