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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

3. Arcs and Chords

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Exercise 32 Page 739

Recall that in a circle two minor arcs are congruent if and only if their corresponding chords are congruent.

x=55

Practice makes perfect

Let's look at the given diagram.

Recall that in a circle two minor arcs are congruent if and only if their corresponding chords are congruent. Since GH≅KJ, the arcs GH and KJ are congruent. mGH& =mKJ 83&=2x-27 Let's solve the above equation using inverse operations.

83=2x-27

LHS+27=RHS+27

110=2x

Rearrange equation

2x=110

.LHS /2.=.RHS /2.

x=55

The value of x is 55.

Subchapter links

Exercises p.736-740