7th grade math Ms. Sue please
posted by Delilah on .
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°

All are right.

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 (180x)
95+70+45+85 +180  x = 360
475  x = 360
x = 115 
Those answer are all correct, good job.