Question

Given PO is perpendicular to RS at T, Point O is center

Prove: Sum of measure of arcs of PR and QS is 180

Answer 1

@ganeshie8

Answer 2

Use s = rθ, where s is the length of an arc subtended by rθ, where r is the radius and θ is the central angle.

Angle ∠POR and ∠QOS each measure 90 degrees by definition of perpendicular lines.

Using the formula s = rθ,

Arc PR = (1)*90
Arc QS = (1)*90

The sum of the arcs is 90 + 90 = 180.

Answer 3

ok there was a typo in ur q

Answer 4

question should read as :-

Given P\(\color{red}{Q}\) is perpendicular to RS at T, Point O is center

Prove: Sum of measure of arcs of PR and QS is 180

Answer 5

check the q and pls let me knw if thats the correct one.. .

Answer 6

yep @ganeshie8 ur rite

Answer 7

thank you, since u closed the q, i assume u got the proof :) ?

Answer 8

yes

Answer 9

good :)