In Fig. 6.14, lin

Given: POY = 90O

a : b = 2 : 3

Now, according to the question,

POY + a + b = 180o       (Angles made on a straight line are supplementary or sum of angles equals to 180°)

90o + a + b = 180o

a + b = 90o   .............eq(1)

Now a:b = 2:3 ............eq(2)

Let a be 2 x and b be 3 x
So putting this value in eq(1),

2x + 3x = 90o

5x = 90o

x = 18o

Hence,

a = 2 x 18o = 36o

And,

b = 3 x 18o = 54o

And,

b + c = 180o (Linear pair)

54o + c = 180o

c = 126o

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 Angles60 mins
Bonus Questions - 156 mins
Bonus Questions - 257 mins
Revision on Angle sum Property of Triangles44 mins
Parallel Lines and Transversal Lines22 mins
Pair of Angles29 mins
Elections- Mechanism and Types48 mins
Constitution - Formation and Objective63 mins
Kinetic and Potential Energy39 mins
Construction-244 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
view all courses
RELATED QUESTIONS :

Write the complemRD Sharma - Mathematics

The supplement ofRD Sharma - Mathematics

The complement ofRD Sharma - Mathematics

Write the supplemRD Sharma - Mathematics

An angle is equalRD Sharma - Mathematics

Each question conRS Aggarwal & V Aggarwal - Mathematics

Consider the follRD Sharma - Mathematics

If one of the fouRD Sharma - Mathematics

Two straight lineRD Sharma - Mathematics

Two straight lineRD Sharma - Mathematics