Question

Based on this figure which statement proves that the opposite angles of an inscribed quadrilateral are supplementary?


My answer is: a = 2 × angle KJM, b = 2 × angle KLM, and a + b = 360°.

Answer 1

@AravindG @luckythebest

Answer 2

so 2 KJM + 2 KLM = 360 so ur correct :)

Answer 3

and its "cyclic quadrilateral." an inscribed quadrilateral may have centre as a vertex where sum of opp. angles will NOT be 360.

Answer 4

wait, that's how the question goes...

Answer 5

So, I'm wrong? Because it doesn't equal 360?

Answer 6

@luckythebest @AravindG

Answer 7

"Cyclic quadrilateral" means a quad. with ALL 4 VERTICES touching circle.

ur figure shows a cyclic quad.

Inscribed quad is this -



so ur actually correcto :)

Answer 8

a+b=360 no doubt about that

Answer 9

but this is an inscribed quad.

Answer 10

Whatever it is a+b completes a full circle of rotation .That means the angle will be 360 degree

Answer 11

But these are all the possible answers, I chose the third one though.

Angle KJM is a, angle KLM is b, and a + b + angle JKL + angle LMJ = 360°.

Angle KLM is a, angle KJM is b, and a + b + angle JKL + angle LMJ = 360°.

a = 2 × angle KJM, b = 2 × angle KLM, and a + b = 360°.

a = 2 × angle KLM, b = 2 × angle KJM, and a + b = 360°

Answer 12

3rd is correcto

Answer 13

3rd is the right one

Answer 14

Okay, just making sure!!

Answer 15

:)