McGraw Hill Integrated II, 2012
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McGraw Hill Integrated II, 2012 View details
3. Arcs and Chords
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Exercise 1 Page 736

93

Practice makes perfect

We will find the value of x. Notice that the minor arc formed by ST is equal to its central angle.

Let's recall the Congruent Corresponding Chords Theorem.

Congruent Corresponding Chords Theorem

In the same circle two minor arcs are congruent if and only if their corresponding chords are congruent.

From the exercise, we know that RS and ST are congruent. Using the theorem, we know that the corresponding minor arcs are also congruent. x^(∘)=93^(∘)