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| 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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