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Angle Subtended by an Arc of a Circle on the Circle and at the Center

Given-1) PQRS...

Question

Given-1) PQRST is cyclic polygon 2)O is center of the circle 3)PR=QR=RS 4) angle PQR=128 degree To find- angle PTQ,angle PTS,angle ROS.

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O

P Q = Q R = R S

∠ P T S = 75^{o}

∠ P O S

∠ Q O R

∠ P Q R

The given figure shown a circle with centre O. Also, PQ = QR = RS and $∠$ PTS = $75^{o}$ . Calculate :

(i) $∠$ POS,

(ii) $∠$ QOR,

(iii) $∠$ PQR.

C_{1}

C_{2}

∠ Q R S

∠ A D E

∠ A B C

15^{\circ}

∠ C A E

C_{1}

C_{2}

∠ Q R S

∠ Q P S = ∠ R P T a n d ∠ P R Q = ∠ P T S

Δ P Q R \sim Δ P S T

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