Q. 34.0( 9 Votes )

# In the figure, PQ and XY are parallel tangents. If ∠QRT = 30°, then find the value of ∠TSY.

Answer :

In the given figure,

Let O be the centre of the circle

Join OS

Let O be the centre of the circle

So ∠ SRQ = 90° [radius is perpendicular to tangent]

So ∠ SRT = 90 – 30

= 60°

∠ STR = 90° [angle in a semicircle is 90°]

∠ RSY = 90° [radius is perpendicular to tangent]

∠ RST + ∠ STR + ∠ SRT = 180° [sum of internal angles in a triangle is 180°]

∠ RST + 90 + 60 = 180

∠ RST = 180 – 150

∠ RST = 30°

∠ TSY = ∠ RSY - ∠ RST

= 90 – 30

= 60°

∴ ∠ TSY = 60°

Rate this question :

How useful is this solution?

We strive to provide quality solutions. Please rate us to serve you better.

Related Videos

Areas Related to Circle36 mins

Tangent from an External Point54 mins

Quiz | Imp. Qs. on Circle35 mins

Champ Quiz | Area Related with the Circle45 mins

Consistent and Inconsistent Equations33 mins

Verb & Tenses46 mins

Electronic Configuration and Valency47 mins

Champ Quiz | Electrical Power and Heating31 mins

Surface Area and Volume49 mins

Metaphor and Simile41 mins

Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Expertsview all courses

Dedicated counsellor for each student

24X7 Doubt Resolution

Daily Report Card

Detailed Performance Evaluation

RELATED QUESTIONS :

In the figure, PQ and XY are parallel tangents. If ∠QRT = 30°, then find the value of ∠TSY.

Rajasthan Board Mathematics

In the figure, if ∠BAC = 80° then find the value of ∠BCP.

Rajasthan Board Mathematics