The sum of the interior angles of a polygon is (n-2)*180, n being the number of sides.
a nonagon has nine sides, so the total of interior angles is (9-2)*180=7*180
this is a regular nonagon, so each interior angle has the same degrees:
7*180/9=7*20=140
the exterior angle=180-the interior angle=180-140=40
40 is the correct answer.
Answer:
x = 50
Step-by-step explanation:
The sum of the measures of the interior angles of a polygon of n sides is
(n - 2)180
This polygon is a quadrilateral with 4 sides. n = 4
(n - 2)180 = (4 - 2)180 = 2(180) = 360
The sum of the measures of the interior angles of the quadrilateral is 360 degrees.
We have angles of 110 deg, 2x deg, x + 10 deg, and 90 deg. We add their measures and set teh sum equal to 360. Then we solve for x.
x + 10 + 2x + 110 + 90 = 360
3x + 210 = 360
3x = 150
x = 50
The coordinates of the point intersection of lines (-1, -1)
If you want solve:
y = -2x - 3, y = 3x + 2
-2x - 3 = 3x + 2 |+3
-2x = 3x + 5 |-3x
-5x = 5 |:(-5)
x = -1
Put the value of x to the first equation:
y = (-2)(-1) - 3 = 2 - 3 = -1
x = -1, y = -1
1 parallelogram
2 parallelogram
3 rhombus
4 rectangle
5 rhombus
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