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

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°.

a is half of angle KCM, b is half of reflex angle KCM, and the sum of angles around the center C is 360°.

a is half of reflex angle KCM, b is half of angle KCM, and the sum of angles around the center C is 360°.

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
		
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°.
		
a is half of angle KCM, b is half of reflex angle KCM, and the sum of angles around the center C is 360°.
		
a is half of reflex angle KCM, b is half of angle KCM, and the sum of angles around the center C is  360°.

anonymous · Answer

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