Question

given: circle m with inscribed ∠kjl and congruent radii jm and ml. prove: m∠mjl = 1/2 (mkl). what is the missing reason in step 8? reflexive property second corollary to the inscribed angles theorem base angles theorem substitution property

Explanation:

The inscribed - angles theorem and its corollaries deal with the relationships between inscribed angles and the arcs they intercept in a circle. In the context of proving the measure of an inscribed angle is half the measure of the intercepted arc, the second corollary to the inscribed - angles theorem is often used in such geometric proofs. The reflexive property is about an element being equal to itself, the base - angles theorem is for isosceles triangles, and the substitution property is for replacing one equal quantity with another. Since we are dealing with inscribed angles and arcs in a circle, the most relevant property here is the second corollary to the inscribed angles theorem.

Answer:

second corollary to the inscribed angles theorem