Skills Practice Workbook - Glencoe

10–2
NAME ______________________________________DATE __________PERIOD______
Skills Practice
Diagonals and Angle Measure
Find the sum of the measures of the interior angles in each figure.
1. X
2. A B
3.
180 720 360
4. E
5. I
6.
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Y
F
P
540 1260 180
O
E
N
Find the measure of one interior angle and one exterior angle of each regular polygon. If
necessary, round to the nearest degree.
7. triangle 8. octagon 9. decagon
60, 120 135, 45 144, 36
10. nonagon 11. quadrilateral 12. hexagon
140, 40 90, 90 120, 60
13. The sum of the measures of three interior angles of a quadrilateral is 245. What is the
measure of the fourth interior angle? 115
14. The sum of the measures of six exterior angles of a heptagon is 310. What is the measure
of the seventh exterior angle? 50
15. The sum of the measures of seven interior angles of an octagon is 1000. What is the
measure of the eighth interior angle? 80
16. The sum of the measures of nine exterior angles of a decagon is 325. What is the measure
of the tenth exterior angle? 35
© Glencoe/McGraw-Hill 55 Geometry: Concepts and Applications
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