CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Angle Subtended by Diameter on the Circle

In the given ...

Question

In the given fig, PQ is tangent at a point R of the circle with centre O. If $∠ T R Q = 30^{\circ}$ , find $∠ P R S .$

Open in App

Solution

Here,

$∠ T R Q = 30^{\circ}$
$∠ P R S$ = ?
∠SRT = 90 because ST is the diameter.
so,
∠TRQ + ∠SRT + ∠PRS = $180^{\circ}$
30 + 90 + ∠PRS = $180^{\circ}$
∠PRS = 180 -120 = $60^{\circ}$

Suggest Corrections

thumbs-up

58

Similar questions

In the figure, PQ is a tangent at a point R of the circle with centre O. If ∠TRQ = 30^o.The measure of ∠PRS is

Q. In Fig. 10.70, tangents PQ and PR are drawn from an external point P to a circle with centre O, such that

∠ R P Q = 30^{\circ} .

A chord RS is drawn parallel to the tangent PQ. Find

∠ R Q S .

Q. In the given figure, O is the centre of a circle. PT and PQ are tangents to the circle from an external point P. If

∠

70^{o}

∠

Q. In fig. 1, PQ is a tangent at a point C to a circle with centre O. If AB is a diameter and

∠ C A B = 30^{\circ}

∠ P C A .

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Angle Subtended by Diameter on the Circle

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Angle Subtended by Diameter on the Circle

Standard IX Mathematics

Join BYJU'S Learning Program

CrossIcon