Answer:
∠OAB = 25°
Step-by-step explanation:
Construction: Join BO
∠APB = 50° (Given)
∠PAO = 90° (Angle between tangent and radius)
∠PAB = ∠PBA
∠APB + ∠PBA + ∠PAB = 180° (Angle sum property)
50° + 2∠PAB = 180°
2∠PAB = 180° - 50°
2∠PAB = 130°
∠PAB = 130°/2
∠PAB = 65°
∠OAB = ∠PAO - ∠PAB
= 90° - 50°
= 25°
Therefore, ∠OAB = 25°
Copyright © 2024 EHUB.TIPS team's - All rights reserved.
Answers & Comments
Answer:
∠OAB = 25°
Step-by-step explanation:
Construction: Join BO
∠APB = 50° (Given)
∠PAO = 90° (Angle between tangent and radius)
∠PAB = ∠PBA
∠APB + ∠PBA + ∠PAB = 180° (Angle sum property)
50° + 2∠PAB = 180°
2∠PAB = 180° - 50°
2∠PAB = 130°
∠PAB = 130°/2
∠PAB = 65°
∠OAB = ∠PAO - ∠PAB
= 90° - 50°
= 25°
Therefore, ∠OAB = 25°