7th grade math Ms. Sue please

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2.
Find the sum of the interior angles of a nonagon. (1 point)

140°
1,620°
1,260°
1,450°

4.
Find the measure of each interior angle of a polygon with 12 sides. (1 point)

1,800°
150°
180°
145°

5.
Four of the angles of a pentagon measure 85°, 110°, 135°, and 95°. Find the measure of the missing angle. (1 point)

115°
95°
135°
85°

My answers:
2. 1,260°
4. 150°
5. 115°

  • 7th grade math Ms. Sue please -

    All are right.

  • 7th grade math Ms. Sue please -

    2.
    Find the sum of the interior angles of a nonagon. (1 point)

    140°
    1,620°
    1,260°
    1,450°

    When you walk all the way around a figure with straight sides clockwise you turn 360 degrees. Ech of your right turns is 180 - interior angle there

    in this case 9 * right turn angle = 360
    right turn angle = 40
    so each interior angle is 180 - 40 = 140
    9* 140 = 1260

    4.
    Same deal for the next one
    360/ 12 = 30
    180 - 30 = 150 = interior angle

    5.
    each exterior angle = 180 - angle
    180 - 85 = 95
    180 - 110 = 70
    180 - 135 = 45
    180 - 45 = 85
    then we have (180-x)
    95+70+45+85 +180 - x = 360
    475 - x = 360
    x = 115

  • 7th grade math Ms. Sue please -

    Those answer are all correct, good job.

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