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Compare the given measures.

(FIGURE CANNOT COPY)

$A C$ and $X Z$

$$A C<X Z$$

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Johns Hopkins University

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University of Nottingham

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segment A C to segment X Z. It's a good question how we can compare these if we don't know their lengths. We know that segment A C is opposite of angle B. We know that segment XZ is opposite of angle. Why? And we know that the measurement of angle B is less than the measurement of angle. Why the hinge there, um, states that if we have two sides that air corresponding and congrats went But the angles between the two sides are not congruent than the side opposite of the larger angle is going to be larger than the side opposite of the smaller angle. So if we can compare the angles, we can also compare the sides. So segment A C is also less than segment xz by the hinge here, um