wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

In the figure, two straight lines PQ and RS intersect each other at O. If POT=75, find the values of a, b and c. [4 MARKS]


Open in App
Solution

Concept: 1 Mark
Application: 1.5 Marks
Answer: 0.5 Mark each

ROS is a straight line.

ROP+POT+TOS=180

4b+75+b=180

5b+75=180

5b=18075

b=21

Since,PQ and RS intersect at O.

QOS=POR [Vertically opposite angles]

a=4b

a=4×21=84

ROQ=POS (vertically opposite angles)

2c=75+b

2c=75+21

2c=96

c=48


flag
Suggest Corrections
thumbs-up
2
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Vertically Opposite Angles
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon