Question

What is the measure of JGK shown in the diagram below

Answer 1

Answer:Option C : 56 °

Explanation:

In the given circle the chords JH and KI intersect outside the circle forming <JGK.

The Angle of intersecting chords Theorem states:

The measure of the angle formed by 2 chords that intersect inside the circle is 1÷2 the sum of the chords' intercepted arcs.

m<JGK=
`(125-13)/(2) =(112)/(2) =56`°

m<JGK=56°

Answer 2

125-13 = 112

112/2 = 56

The answer is C. 56