Q. 14.5( 25 Votes )

In a trapezium PQRS, PQ RS; and P = 70° and Q = 80°. Calculate the measure of S and R.

Answer :

Let us consider trapezium PQRS with PQ||RS.


According to the problem, it is given that P = 700and Q = 800.



We know that the sum of adjacent angles between two parallel lines is 1800.


i.e, P + S = 1800 ...... - - (1)


Q + R = 1800. ...... - (2)


Substituting the value of P in eq(1) we get,


700 + S = 1800


S = 1800 - 700


S = 1100.


Substituting the value of Q in eq(2) we get,


800 + R = 1800


R = 1800 - 800


R = 1000.


The values of S and R is1100 and 1000.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
QuadrilateralsQuadrilateralsQuadrilaterals32 mins
Smart Revision | Let's Revise Properties of PolygonSmart Revision | Let's Revise Properties of PolygonSmart Revision | Let's Revise Properties of Polygon32 mins
Smart Revision | Let's Classify Quadrilaterals and Find their PropertiesSmart Revision | Let's Classify Quadrilaterals and Find their PropertiesSmart Revision | Let's Classify Quadrilaterals and Find their Properties34 mins
NCERT I Quiz on Understanding QuadrilateralsNCERT I Quiz on Understanding QuadrilateralsNCERT I Quiz on Understanding Quadrilaterals54 mins
Champ Quiz | Polygons (Quadrilaterals)Champ Quiz | Polygons (Quadrilaterals)Champ Quiz | Polygons (Quadrilaterals)30 mins
Genius Quiz | Understanding QuadrilateralsGenius Quiz | Understanding QuadrilateralsGenius Quiz | Understanding Quadrilaterals20 mins
Quiz | Polygon & their PropertiesQuiz | Polygon & their PropertiesQuiz | Polygon & their Properties46 mins
Members of QuadrilateralsMembers of QuadrilateralsMembers of Quadrilaterals65 mins
Smart Revision | All Types of Quadrilaterals and Their PropertiesSmart Revision | All Types of Quadrilaterals and Their PropertiesSmart Revision | All Types of Quadrilaterals and Their Properties35 mins
NCERT |  Discussion on Imp. Qs. of  QuadrilateralsNCERT |  Discussion on Imp. Qs. of  QuadrilateralsNCERT | Discussion on Imp. Qs. of Quadrilaterals43 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