Question

Which equation correctly describes the relationship between the measures of the angle and arcs formed by the intersecting secant and tangent?
m∠1=1/2(mJK−mKL)
m∠1=1/2(mJK+mKL)
m∠1=1/2mJK
m∠1=mJK−mKL

Answer 1

Angle m∠1 if formed by a tangent and  secant intersecting outside of circle. The intercepted arcs are arc LK and arc JK.
Thus;
Angle formed by Tangent and secant 
=1/2(DIFFERENCE of Intercepted Arcs)
m∠1=1/2(mJK-LK)

Answer: m∠1=1/2(mJK-KL)