Geometry

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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 -

    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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