Please explain q. No. 1 LINES ANY) ANGLES
Example I : In Fig. 6.9, lines PQ and RS
intersect each other at point O. If
Z POR : Z ROQ : 7, find all the angles.
Solution: Z POR +Z ROQ- 1800
(Linear pair of angles)
But Z POR : z ROQ- 5: 7
Therefore,
Similarly,
Now,
Z POR =
Z ROQ
(Given)
5
x 1800 = 750
12
7
x 1800 = 1050
12
Z POS = ZROQ= 1050
Z SOQ = ZPOR = 750
s
Q
(Vertically Opposite ang
(Vertically opposite angl
Example 2 : [n Fig. 6.10, ray OS stands on a line POQ. Ray OR and ray OT .
angle bisectors of Z POS and Z SOQ, respectively. If Z x, find Z ROT.
Solution : Ray OS stands on the line POQ.
Therefore,
But,
Z POS + Z SOQ = 1800
Z POS = x