PAT is a tangent to a circle with point A on it, and AB is a chord such that ∠BAT = 72°. If C is a point on the circle such that ∠CBA = 58°, then what is the measure of ∠CAB?
Show answer & explanation
Correct answer: C
Explanation
Correct Answer is option 3 i.e. 50°
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Understanding |
Application |
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Given:
∠BAT = 72° and ∠CBA = 58° |
We know that: ∠BAT = ∠BCA ∴ ∠BCA = ∠BAT = 72° In Δ ABC ∠ABC + ∠BCA + ∠BAC = 180° ⇒ 58° + 72° + ∠BAC = 180° ⇒ ∠BAC = 180° − 130° = 50° |
