Solutions
S1. Ans.(c)
Sol. ∠AOC=∠AOB-∠COB=68°-42°=26°
S2. Ans.(c)
Sol. ∠XOZ=∠XOY+∠YOZ=56°+34°=90°
S3. Ans.(c)
Sol. Let angles be 8x and x
8x + x = 180
x = 20° then angles are 160° and 20°
S4. Ans.(d)
Sol. 58° + 42° + z = 180°
z = 180° – 100 = 80°
1/2 z=40°
S5. Ans.(c)
Sol. x + y + 2 × 50° = 360°
x + y = 360° – 100° = 260°
S6. Ans.(c)
Sol. ∠POC=1/2∠AOC
∠COQ=1/2∠COB
∠POC+∠COQ=1/2 (∠AOC+∠COB)
∠POQ = 1/2 (180°)
∠POQ=90°
S7. Ans.(c)
Sol. Alternate angle
S8. Ans.(a)
Sol. ∠COD=20°
∠OCD=60°
∠ODC=180°-(20°+60°)
= 100°
S9. Ans.(c)
Sol. y = 180° – 103° = 77°
x + y + 35° = 180°
x = 180° – 35 – 77 = 68°
S10. Ans.(b)
Sol. ∠PRS=69°+25°=94°
