asked 13.2k views
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What is the measure of JGK shown in the diagram below

What is the measure of JGK shown in the diagram below-example-1

2 Answers

6 votes

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°

answered
User IAteYourKitten
by
8.4k points
0 votes
125-13 = 112

112/2 = 56

The answer is C. 56
answered
User Geoff Clayton
by
7.8k points

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