Download Geometry

Geometry
Name: _____________________________
Worksheet 8.1B
Period: ________ Date: _____________
Find Angle Measures in Polygons
Find the sum of the measures of the interior angles of the indicated convex polygon.
1. Dodecagon
2. 14-gon
3. 40-gon
The sum of the measures of the interior angles of a convex polygon is given. Classify the polygon by the number of
sides.
4. 5400
5. 18000
6. 39600
7. 59400
Find the value of x.
8.
9.
10.
11.
12. What is the measure of each exterior angle of a regular nonagon?
13. The measures of the interior angles of a convex octagon are 45x0, 40x0, 1550, 1200, 1550, 38 x0, 1580, and 41x0. What
is the measure of the smallest interior angle?
Find the measures of an interior angle and an exterior angle of the indicated polygon.
14. Regular octagon
15. Regular 45-gon
In Exercises 17-18, find the value of n for each regular n-gon described.
17. Each interior angle of the regular n-gon has a measure of 175.20.
18. Each exterior angle of the regular n-gon has a measure of 30.
16. Regular 100-gon
19. Storage Shed The side view of a storage shed is shown below. Find the value of x. Then determine the measure of
each angle.
20. Tents The front view of a camping tent is shown below. Find the value of x. Then determine the measure of each
angle.
Tell whether each statement is true Always, Sometimes, or Never. (A, S, or N)
21. ___________
If the number of sides of an equiangular polygon is doubled, the measure of each exterior angles
is halved.
22. ___________
The measure of an exterior angle of a decagon is greater than the measure of an exterior angles
of a quadrilateral.
23. ___________
A regular polygon is equilateral.
24. ___________
An equilateral polygon is regular.
25. ___________
If the midpoints of the sides of a scalene quadrilateral are joined in order, the figure formed is
equilateral.
26. ___________
If the midpoints of the sides of a rhombus are joined in order, the figure formed is equilateral but
not equiangular.
27. Given: PENTA is a regular pentagon
Prove: PNT is isosceles.
Statements
Reasons