Home
Class 9
MATHS
In Figure, ray O S stand on a line P O Q...

In Figure, ray `O S` stand on a line `P O Qdot` Ray `O R` and ray `O T` are angle bisectors of `/_P O S\ a n d\ /_S O Q` respectively. If `/_P O S=x ,` find `/_R O T`

Text Solution

Verified by Experts

`/_POS+/_SOQ=180^0-(1)`
`/_POS and /_SOQ` is linear pair of angles.
`/_POR=/_ROS
/_SOT+/_TOQ=/_SOQ`
`/_SOT=/_TOQ`
`x+/_SOQ=180^0`
`/_SOQ=180^0-x-(2)`
`2/_SOT=180^0-x`
...
Promotional Banner

Similar Questions

Explore conceptually related problems

In Figure, P Q R S is a parallelogram, P O\ a n d\ Q O are, respectively, the angle bisectors of /_P\ a n d\ /_Q . Line L O M is drawn parallel to P Q . Prove that: P L=Q M (ii) L O=O M

The number of S-O-S and O-H links in H_2S_2O_7 molecule are respectively

P Q R S is a square such that P R\ a n d\ S Q intersect at Odot State the measure of /_P O Q

In Figure, P Q R S is a square and T\ a n d\ U are, respectively, the mid-points of P S\ a n d\ Q R . Find the area of O T S\ if P Q=8\ c mdot

The number of P-O-P bonds present in P_(4)O_(6) and P_(4)O_(10) are respectively

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 /_R O S=1/2(/_Q O S-/_P O S)dot

The I.P_(1) 's of N,P,O & S are in the order of

In Fig. 10.37, /_P Q R" "=" "100o , where P, Q and R are points on a circle with centre O. Find /_O P Rdot