Posted by **Justin** on Tuesday, November 30, 2010 at 2:16pm.

1. How many sides does a regular polygon have if one exterior angle is 90 degrees?

3

4

5

6

2. The measures of three angles of a quadrilateral are 80, 90, and 103 degrees. Find the measure of the fourth angle.

67

77

87

97

3. The sum of the interior angles of a 7-gon is

900

1,080

1,260

1,440

4. One exterior angle of a regular pentagon measures

60

72

90

120

5. If all of the diagonals are drawn from a vertex of a pentagon, how many triangles are formed?

2

3

4

5

6. A polygon is such that when all diagonals from one vertex are drawn, eleven triangles are formed. How many sides does the polygon have?

9

11

12

13

7. The sum of the measures of the interior angles is 1,440 degrees. How many sides does the polygon have?

4

6

8

10

8. How many sides does a regular polygon have if one exterior angle is 1?

120

180

360

- Geometry -
**Henry**, Thursday, December 2, 2010 at 12:05am
1. Ae = 360 / N = 90,

90N = 360,

N = 360 / 90 = 4 Sides.

2. At = 80 + 90 + 103 + x = 360,

X = 360 - 273 = 87 deg.

3. At =(N - 2)180,

At = (7 - 2)180 = 900 deg.

4. Ae = 360 / N = 360 / 5 = 72 DEG.

5.

6.

7. At = (N - 2)180 = 1440,

(N - 2) = 1440 / 180 = 8,

N = 8 - 2 = 6 Sides.

8. Ae = 360 / N = 1 Deg,

N = 360 Sides.

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