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Honors Geometry polygon review
Given the following measures of an exterior or interior angle or a regular
polygon, find the number of sides the polygon has, if possible name it:
1. exterior angle = 45 degrees
2. Interior angle = 156 degrees
3. interior angle = 30 degrees
4. Exterior angle = 40 degrees
Given the sum of the interior angles of a polygon, find the interior and exterior
angles:
5. 4,140 degree
6. 1,620 degrees
7, The measure an interior angle in a regular polygon 4 times the measure of the
exterior angle next to it. Find the number of sides in the polygon.
Given that m<DAB = 110 degrees, find the following:
8. m<1 = ____________
9. m<2 = ____________
10. m<3 = ____________
11. m<4 = ____________
12. m<5 = ____________
13. AB = ___________
14. CB = ___________
14. In the following picture,
Find the following:
x = __________
y = __________
z = __________
Using the given coordinates, determine if the following are a parallelogram,
rectangle, rhombus, or square. Show all work
15. A ( -3, 1) B ( 1, 3 ) C ( 5, 1 ) D ( 1, -1 )
16. P ( -1, -3) Q ( 4, -3 ) R ( 4, 3 ) S ( -1, 3 )
17. A ( 2, 0 ) B ( 3, 4 ) C ( -2, 6 ) D ( -3, 2 )
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