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 CircleAreas Related to CircleAreas Related to Circle36 mins
Tangent from an External PointTangent from an External PointTangent from an External Point54 mins
Quiz | Imp. Qs. on CircleQuiz | Imp. Qs. on CircleQuiz | Imp. Qs. on Circle35 mins
Champ Quiz | Area Related with the CircleChamp Quiz | Area Related with the CircleChamp Quiz | Area Related with the Circle45 mins
Consistent and Inconsistent EquationsConsistent and Inconsistent EquationsConsistent and Inconsistent Equations33 mins
Verb & TensesVerb & TensesVerb & Tenses46 mins
Electronic Configuration and ValencyElectronic Configuration and ValencyElectronic Configuration and Valency47 mins
Champ Quiz | Electrical Power and HeatingChamp Quiz | Electrical Power and HeatingChamp Quiz | Electrical Power and Heating31 mins
Surface Area and VolumeSurface Area and VolumeSurface Area and Volume49 mins
Metaphor and SimileMetaphor and SimileMetaphor and Simile41 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses