Q. 174.0( 4 Votes )

In Fig. 14.113, P

Answer :

Given,


PQRS is a rhombus


SRT = 152°


We know that diagonals of a rhombus bisects each other at 90°


Hence , SOR = 90° = y = 90°


SRT+SRO= 180° (linear pair of angles)


= 152°+SRO = 180°


SRO = 180° -152°= 28°


NOW , SRO = z SR=SP


= z = 28°


And , RSO+SRO + y = 180° (angle sum property of triangle)


= RSO+28°+90°= 180°


= RSO = 180°-118° = 62°


= X = RSO = 62° (alternate angles)


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Quiz | Properties of ParallelogramQuiz | Properties of ParallelogramQuiz | Properties of Parallelogram31 mins
Extras on QuadrilateralsExtras on QuadrilateralsExtras on Quadrilaterals40 mins
Critical Thinking Problems on QuadrilateralsCritical Thinking Problems on QuadrilateralsCritical Thinking Problems on Quadrilaterals44 mins
Smart Revision | QuadrilateralsSmart Revision | QuadrilateralsSmart Revision | Quadrilaterals43 mins
Quiz | Basics of QuadrilateralsQuiz | Basics of QuadrilateralsQuiz | Basics of Quadrilaterals36 mins
RD Sharma |  Extra Qs. of Cyclic QuadrilateralsRD Sharma |  Extra Qs. of Cyclic QuadrilateralsRD Sharma | Extra Qs. of Cyclic Quadrilaterals31 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 lengthsRS Aggarwal & V Aggarwal - Mathematics

In each of RS Aggarwal & V Aggarwal - Mathematics

If the bisectors RD Sharma - Mathematics

In Fig. 14.113, PRD Sharma - Mathematics

In Fig. 14.114, ARD Sharma - Mathematics

Each side oRS Aggarwal & V Aggarwal - Mathematics

If ABCD is a rhomRD Sharma - Mathematics

If ABCD is a rectRD Sharma - Mathematics