mastermind2147964 mastermind2147964

23-09-2020
Mathematics

contestada

State the size of angle OAB, giving a reason for your answer

State the size of angle OAB giving a reason for your answer class=

Respuesta :

akposevictor akposevictor

30-09-2020

Answer:

Angle OAB = 90°

Reason: tangent theorem of a circle

Step-by-step explanation:

The diagram given shows a tangent line of the given circle with center O. The tangent touches the circle at point A.

The diagram also shows the radius of the circle, OA, drawn from the center to the circle to meet at the point of tangency.

Thus, according to the Tangent Theorem of a circle, the point at which the radius drawn from the center meets the point of tangency = 90°. The tangent is perdendicular to the radius drawn to meet at the point of tangency.

Therefore, angle OAB = 90°

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