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Honors Geometry
Chapter 7 Review
Name_________________________
Date____________Period_________
1. Find x, y, and z.
2. The measures of three angles of a triangle are in the ratio 1:3:6. Find the measure of all
three angles.
3. Find BEC .
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5. Find x.
6. Find the m 1 and 2.
BDAC
ABBC
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4. If D and E are midpoints and DE=15, find BC
and m B
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(Section 7.3)
7. Find the sum of the measures of the interior angles of a heptagon.
8. Find the sum of the measures of exterior angles, one per vertex, of a dodecagon.
9. How many side does a polygon have if the sum of the measures of the interior angles
is 900?
(Section 7.4)
10. How many degrees are there in EACH exterior angle of a regular hexagon.
11. If the measure of an exterior angle of a regular polygon is 18, how many sides does
the polygon have?
12. If each angle of a polygon is 108, how many sides does the polygon have?
13. Find the measure of each interior angle of a regular octagon.
(Section 7.1 and 7.2)
14. Find x, y, and z.
15. The measures of three angles of a triangle are in the ratio of 4:5:6. Find the measures
of each of the angles.
16. If one of the angles of a triangle is 40, find the measures of the angle formed by the
bisectors of the other two angles. (angle BEC)
17. Find the measure of each angle in the triangle. m 1=150 and the measure of m D
is twice that of E .
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(Section 7.3)
18. Find the sum of the measures of the interior angles of a heptagon.
19. Given: m F =110
m G =80
m H =74
Find: m 1
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20. How many sides does a polygon have if the sum of the measures of the angles is
2880?
21. What is the name of the polygon that contains 14 diagonals?
(Section 7.4)
22. How many degrees are there in each exterior angle of an equilateral heptagon?
23. Find the measure of each angle of a regular octagon.
24. XY = YZ, m XYZ =80, find w.
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