Question 25
Angles and PolygonsIn the diagram above, PQ is parallel to RS. What is the value of α + β + γ?
- A.360°
- B.200°
- C.180°
- D.90°
Show the answer and explanation
Answer: A (360°)
Explanation
If each slanting line makes angles θ and φ with the horizontal, then α = 90° + θ, γ = 90° + φ and β = 180° − θ − φ. Adding them gives 360°.