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Question
Four alternative answers for the following question is given. Choose the correct alternative.
What is the measurement of angle inscribed in a semicircle?
Options
90°
120°
100°
60°
Solution
90°
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RELATED QUESTIONS
In the given figure, seg RS is a diameter of the circle with centre O. Point T lies in the exterior of the circle. Prove that ∠ RTS is an acute angle.
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Prove that, angles inscribed in the same arc are congruent.
Given: ∠PQR and ∠PSR are inscribed in the same arc
Arc PXR is intercepted by the angles.
To prove: ∠PQR ≅ ∠PSR
Proof :
m∠PQR = `1/2` m(arc PXR) .......(i) `square`
m∠`square` = `1/2` m(arc PXR) ......(ii) `square`
∴ m∠`square` = m∠PSR .......[From (i) and (ii)]
∴ ∠PQR ≅ ∠PSR ........(Angles equal in measure are congruent)
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