Advertisements
Advertisements
Question
If PA and PB are two tangents to a circle with centre O such that ∠AOB = 110° then ∠APB is equal to ______.
Options
55°
60°
70°
90°
MCQ
Fill in the Blanks
Advertisements
Solution
If PA and PB are two tangents to a circle with centre O such that ∠AOB = 110° then ∠APB is equal to 70°.
Explanation:
OA and OB are radii to the tangent points, so OA ⟂ PA and OB ⟂ PB.
In quadrilateral APBO the angles are ∠OAP = 90°, ∠AOB = 110°, ∠OBP = 90° and ∠APB = x.
Sum = 360°, so x + 90 + 110 + 90 = 360 ⇒ x = 70°.
shaalaa.com
Is there an error in this question or solution?
