Three points P, Q, R, and S are located on the circumference of a circle. If angle RPS = $ 30^\circ and \angle PQS = 40^\circ deg , what is the measure of \PRS?
Three points P, Q, R, and S are located on the circumference of a circle. If $\angle \text{RPS} = 30^\circ \text{and} \angle \text{PQS} = 40^\circ$ , what is the measure of $\angle\text {PRS}$ ?
तीन बिंदु P, Q, R और ऽ एक वृत्त की परिधि पर स्थित हैं। $\angle \text{RPS} = 30^\circ \text{and} \angle \text{PQS} = 40^\circ$ का माप क्या है $\angle\text {PRS}$
Detailed Solution & Logic
Correct Answer:
$ 40^\circ $
Solution:
In a circle, angles standing on the same chord are equal.
Here, $\angle PQS$ and $\angle PRS$ stand on the same chord $PS$.
Therefore,
$\angle PRS = \angle PQS = 40^\circ$
(The given $\angle RPS = 30^\circ$ is not required.)
Answer: ${40^\circ}$
Similar Practice Questions
If cosec A-sinA = 2, then find the value of sinA.
If cosec A-sinA = 2, then find the value of sinA. cosecA-sinA = 2, तो...
Chord AB and Chord CD are equal and subtend angles of \(50^\circ\) and x\(^\circ\) at the center respectively. Find x .
Chord AB and Chord CD are equal and subtend angles of \(50^\circ\) and x\(^\circ\) at...
If sec A + tan A = P, then what is sec A in terms of P?
If sec A + tan A = P, then what is sec A in terms...
sec 2 A +cosec 2 A=13
If $ sec^2A + cosec^2A = 13,$ and A is an acute angle, then find...
A tangent is drawn to a circle with a radius of 5 cm. At the point of tangency, what is the angle between the tangent and the radius?
A tangent is drawn to a circle with a radius of 5 cm. At the...
If sin x = cos $(2x – 10^\circ)$, find the Value of x.
If sin x = cos $(2x – 10^\circ)$, find the Value of x. यदि sin...
If in triangle ABC, DE || BC and AD/DB = \(\frac{1}{2}\), and AE = 5 cm, then EC is:
If in triangle ABC, DE || BC and AD/DB = \(\frac{1}{2}\), and AE = 5...