Question

R
In Fig. 6.17.POQ is a line. Ray OR is perpendicular
to line PQ. OS is another ray lying between rays
OP and OR. Prove that
1
LROS
2
It is given that Z XYZ = 64° and XY is produced
to point P. Draw a figure from the given
information IfrayYO
Z QOS - Z POS)
р​

Answer 1

Explanation:

Answer

∠ROS=90

∘

−∠POS−(i)

∠QOS=∠QOR+∠ROS=90

∘

+∠ROS

⇒90

∘

=∠QOS−∠ROS−(ii)

Substituting (ii) in (i) we get

∠ROS=∠QOS−∠ROS−∠POS

⇒2∠ROS=∠QOS−∠POS

⇒∠ROS=

2

1

(∠QOS−∠POS)

Hence proved.

solution