Use the information given in the diagram to prove that m Z

Last updated: 5/3/2023

Use the information given in the diagram to prove that m Z JGI b a where a and b represent the degree measures of arcs FH and Jl G F a H J Angles JHI and GJH are inscribed angles We have that mZJHI band mZGJH a by the 2 Angle Because the JHI is an exterior angle of triangle measure of an exterior angle is equal to the sum of the measures of the remote interior angles mZJHI m JGI mZGJH By the 1 16 mZJGI a Using the subtraction property mZJGI b a Therefore m JGI b a by the distributive property