\Given: circle k(O), m JC = 94° Find: m∠LJC

Question

Answer 1

Hi Jessica,

For this question, you need to know that measure of an inscribed angle = 1/2 measure of an intercepted arc

mJC = 94

LJ is a diameter, mJCL = 180

mLC = 180 - 94 = 86

m <LJC (inscribed angle) = 1/2 mLC (intercepted arc)

= 1/2 (86) = 43

Please let me know if you need further help.

Katherine