Download ALGEBRA 2 WKST

Proof Geometry
WKSHT 8.1*
Chapter 8 Section 1
Name ______________________________hour____
Date:____/____/____ Score : ______/
= _______%
In each box, write the formula used for finding the value.
Find the sum of the measures of the interior angles of each convex polygon.
1. 17-gon
2. nonagon
3. 30-gon
4. octagon
Sum = ____________
Sum = ____________
Sum = ____________
Sum = ____________
The measure of an interior angle of a regular polygon is given. Find the number of sides in each polygon.
5. 150
6. 160
7. 135
8.108
Number
of sides = ___________
Number
of sides = ___________
Number
of sides = ___________
Number
of sides = ___________
Find the measure of each interior angle of each regular polygon.
9. decagon
10. 16-gon
11. 36-gon
12. pentagon
one
interior  = ___________
one
interior  = ___________
one
interior  = ___________
one
interior  = ___________
Find the measure of an exterior angle for each convex regular polygon.
13. dodecagon
14. 18-gon
15. octagon
one
exterior  = ___________
one
exterior  = ___________
one
exterior  = ___________
Find the measure of each angle using the given information.
16.
17.
mA = __________ mB = __________
mL = __________ mM = __________
mC = __________ mD = __________
mP = __________ mN = __________
mE = __________
Draw a diagram where appropriate. Then solve each problem.
18. Two angles of a hexagon are congruent. Each of
the other angles has a degree measure of twice that of
each of the first two angles. Find the degree measure
of each angle.
19. Two angles of a quadrilateral are congruent. Each
of the other two angles has a degree measure of three
times that of each of the first two angles. Find the
degree measure of each angle.
__________ __________ __________
__________ __________ __________ __________
__________ __________ __________
20. Explain why the sum of the degree measures of the
angles of a convex polygon cannot be 2070.
21. One exterior angle of a regular polygon measures 10.
What is the measure of each interior angle? How many
sides does the polygon have?
____________________________________________
____________________________________________
____________________________________________
____________________________________________
each interior angle = __________
____________________________________________
number of sides = __________