Question 45
Angles and PolygonsIn the diagram, PQ is parallel to RS, ∠QFG = 105° and ∠FEG = 50°. Find the value of n.
- A.40°
- B.55°
- C.75°
- D.130°
Show the answer and explanation
Answer: C (75°)
Explanation
∠FGS and ∠QFG are co-interior angles between parallel lines, so ∠FGS = 180° − 105° = 75°. Angle n is vertically opposite ∠FGS, so n = 75°.