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

Question 2
In the given figure, lines XY and MN intersect at O. If POY=90 and a:b = 2:3, find c.

Open in App
Solution

Let the common ratio between a and b be x.
a = 2x and b = 3x
XY is a straight line, rays OM and OP stand on it.
XOM+MOP+POY=180
b+a+POY=180
3x+2x+90=180
5x=90
x=18
a=2x=2×18=36
b=3x=3×18=54
MN is a straight line. Ray OX stands on it.
b+c=180 ( Linear pair)
54+c=180
c=18054=126
c=126

flag
Suggest Corrections
thumbs-up
8
Join BYJU'S Learning Program
Join BYJU'S Learning Program
CrossIcon