Question

Look at the quadrilateral LMJK in the circle shown below.



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

Answer 1

@ this very moment u are uploading the pic

Answer 2

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

Angle KJM is 90° and angle KLM is 90° since they are both angles in a semi-circle.

Angle KCM is 2a, reflex angle KCM is 2b, and 2a + 2b = 360°.

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

Angle KCM is , reflex angle KCM is , and a + b = 360°.

Answer 3

KJM=0.5KCM and KCM is not 180 degrees, so KJM is not 90. first wrong

Answer 4

there may some error on second selection
KCM is both 2a &2b??

Answer 5

Angle KLM is a, angle KJM is b, for KLMJ is a quadrilateral, the sum of its four angle must be 360
a + b + angle JKL + angle LMJ = 360° is ture

Answer 6

oh, the second one. Angle KCM is 2a is right, but reflex angle KCM is 2b is wrong.

Answer 7

the last one is entirely wrong