Two tangents EA and EB are drawn on a circle from a point E which is outside the circle of center O. If ∠AEB = 80°, find the value of ∠AOB.?

100°
80°
50°
120°

LohaHridoy

4 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 1 : 100°

Given that ∠AEB = 80°

We know that tangent drawn on circle makes right angle with the radius of the circle.

⇒ ∠EAO = ∠EBO = 90°

In ▭AOBE,

∠EAO + ∠AOB + ∠OBE + ∠BEA = 360°

⇒ 80° + ∠AOB + 90° + 90° = 360°

∴ ∠AOB = 100°

4 views Answered 2022-09-04 04:29

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