In the figure, PA Is a tangent from an external point P to the circle with centre O. If ∠POB = 110o, then the measure of ∠APO is:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e 20o
| Understanding | Application |
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An exterior angle of a triangle is equal to the sum of the two opposite interior angles. A radius that connects to the tangent forms 90 degrees. ∠PAO = 90o |
∠POB = ∠APO + ∠PAO ⇒ 110o = ∠APO + 90o ⇒ ∠APO = 20o |