Question

To the square PQRS, the diagonals intersect
at O. M is a point on PS such that PM = PO.
Show that angle POM = 3(angle MOS.)​

Answer 1

Step-by-step explanation:

we know po=os (diagonals of square equal )

angle pos will be 90 degree

now we see traingle pos

if po=os ,angle ops = angle pso as (po=OS)

LET angle ops = x

so sum of angle of traingle = 180

90 +2x=180

x=45

similarly in pmo triangle

pm=mo (given )

so angle pmo=angle pom

sum of angle of traingle is 180

let angle pmo be y

2y =180-45

y= 135/2 =67.5

angle mos will be 90-135/2=22.5

multiply 3 ,hence proved