Download Concepts of Geometry

CP Geometry
Mr. Musser
Practice 7.1
Name:________________________
Date: ________________________
Directions: Show all work
1. Find the measure of ONE interior angle in a 5. In a pentagon which is convex, two angles
regular decagon.
measure 150° each. The other angles are all
equal. Find the measure of one.
2. A hexagon that is regular has sides of
length 14 cm. What is its perimeter?
6. Find the sum of the interior angles in a
convex nonagon.
3. Find the measure of one exterior angle of a
regular octagon.
7. A certain regular polygon has an exterior
angle measuring just 4°. How many sides
does this polygon have?
4. A quadrilateral has two angles measuring
108° each and one measuring 64°. Find the
measure of the fourth angle and its adjacent
exterior angle. (It is convex)
8. Find the sum of the exterior angles, one at
each vertex, in a convex dodecagon.
9. A convex hexagon has two interior angles
of 110°. All the other interior angles are
equal. Find all angles.
14. If a regular polygon has one exterior angle
measuring 20°, how many sides does it have?
10. Find the measure of ONE exterior angle of
a regular 72-gon.
15. Four angles of a pentagon measure 80°,
90°, 100°, and 110°. Find the fifth interior
angle.
11. If a regular polygon has one interior angle
measuring 162°, how many sides does it have?
16. Find the measure of ONE interior angle of
a regular 15-gon.
12. A regular heptagon has a perimeter 91
inches. What is the length of one side?
17. Find the sum of the exterior angles, one at
each vertex, of a convex nonagon.
13. Find the sum of the interior angles of a
convex 40-gon.
18. The sum of the measures of four exterior
angles of a convex pentagon is 297°. Find the
measure of the fifth exterior angles and its
adjacent interior angle.
Find the missing measure in each polygon. Write each answer inside the angle. Are any of these
polygons regular?