Q. 14.4( 294 Votes )

In Fig. 6.39, sid

Answer :

Method 1:

It is given in the question that:

SPR = 135O

And,

PQT = 110o


Now, according to the question,


SPR + QPR = 180O (SQ is a straight line)


135o + QPR = 180O


QPR = 45O


And,


PQT + PQR = 180O (TR is a straight line)


110o + PQR = 180O


PQR = 70O


Now,


PQR + QPR + PRQ = 180O (Sum of the interior angles of the triangle)


70o + 45o + PRQ = 180O


115O + PRQ = 180O


PRQ = 65O


Method 2:

It is given in the question that:

SPR = 135O

And,

PQT = 110o

PQT + PQR = 180O (TR is a straight line)

110o + PQR = 180O

PQR = 70O


Now, we know that the exterior angle of the triangle equals the sum of interior opposite angles. Therefore,

∠SPR = ∠PQR + ∠PRQ

135= 70+ ∠PRQ

∠PRQ = 65o

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Introduction to Lines and AnglesIntroduction to Lines and AnglesIntroduction to Lines and Angles60 mins
Bonus Questions - 1Bonus Questions - 1Bonus Questions - 156 mins
Revision on Angle sum Property of TrianglesRevision on Angle sum Property of TrianglesRevision on Angle sum Property of Triangles44 mins
Bonus Questions - 2Bonus Questions - 2Bonus Questions - 257 mins
Quiz | Lines and AnglesQuiz | Lines and AnglesQuiz | Lines and Angles43 mins
Quiz | Lines and AnglesQuiz | Lines and AnglesQuiz | Lines and Angles40 mins
Lines and AnglesLines and AnglesLines and Angles45 mins
Quiz | Lines and AnglesQuiz | Lines and AnglesQuiz | Lines and Angles45 mins
Quiz | Imp. Qs. on Lines and AnglesQuiz | Imp. Qs. on Lines and AnglesQuiz | Imp. Qs. on Lines and Angles30 mins
Smart Revision | Quiz on Lines and AnglesSmart Revision | Quiz on Lines and AnglesSmart Revision | Quiz on Lines and Angles46 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
RELATED QUESTIONS :

The sides BC, BA RS Aggarwal & V Aggarwal - Mathematics

In the given figuRS Aggarwal & V Aggarwal - Mathematics

In the given figuRS Aggarwal & V Aggarwal - Mathematics

The angles of a tRS Aggarwal & V Aggarwal - Mathematics

In ΔABC, <span laRS Aggarwal & V Aggarwal - Mathematics

In ΔABC, BD <spanRS Aggarwal & V Aggarwal - Mathematics

In the given figuRS Aggarwal & V Aggarwal - Mathematics

In a ΔABC its is RS Aggarwal & V Aggarwal - Mathematics

Side BC of ΔABC hRS Aggarwal & V Aggarwal - Mathematics

An exterior angleRS Aggarwal & V Aggarwal - Mathematics