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2 years ago

What is the measure of OAC

Mathematics

2 answers:

Lady bird [3.3K]2 years ago

4 0

Answer:

27°

Step-by-step explanation:

A tangent meets a radius at 90°

Angles in a trainable sum to 180°
180 - 90 - 63 = 27°

Anon25 [30]2 years ago

4 0

Answer:

∠OAC = 27°

Step-by-step explanation:

The radius of the circle is perpendicular to the tangent line.

Therefore, ∠ACO = 90°

The interior angles of a triangle sum to 180°

⇒ ∠OAC + ∠ACO ∠ COA = 180°

⇒ ∠OAC + 90° + 63° = 180°

⇒ ∠OAC + 153° = 180°

⇒ ∠OAC = 180° - 153°

⇒ ∠OAC = 27°

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