GEOMETRY, 2008
40

 PAGE: 301 SET: Exercises PROBLEM: 40

The given angle measures are           (Angle sum theorem)

(Substitute angles)

(Combine like terms)

(Subtract 4 from each side)

(Divide each side by 8)

Use to determine the measures of the angles

(Given)

(Substitute )

(Simplify)                            (Given)

(Substitute )

(Simplify)                              (Given)

(Substitute )

(Simplify)

By the triangle properties, if one angle of a triangle has a greater measure than another angle, then the side opposite the greater angle is longer than the side opposite the lesser angle. So, the order of measures from longest to shortest is PR, QR and PQ

The order of measures from longest to shortest is PR, QR and PQ.

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