Angle Sum
What is the interior angle sum of a triangle?
180
A regular polygon has all the side lengths the same and...
all the angles are equal
Is it possible for a triangle to have angle measures of 90, 100, and 50? Why or why not?
No because 90+100+50=240 and the interior angle sum of a triangle is 180 degrees.
Every polygon has an exterior angle sum of...
360
What is the interior angle sum of a pentagon?
540
What is the measure of each angle of a regular triangle?
60 degrees
Write an equation and find the measure of C.
C+25+90=180
C=65
Write an equation then find x.
x+130+120=360
x=110
What is the equation to find an angle sum of an n sided polygon?
180(n-2)
What is the measure of each angle of a regular hexagon?
120
Write an equation and find the value of x.
x+x+50=180 OR 2x+50=180
x=65
Write an equation, then find the value of x. (Round to the nearest tenths)
2x+x+70+40+120=360 OR 3x+230=360
x=43.3
What is the interior angle sum of an 11 sided polygon?
180(11-2)
180(9)
1,620
What is the measure of each EXTERIOR angle measure of a regular triangle?
exterior angle sum is 360 and there is 3 exterior angles that are equal so
360/3=120
Write an equation to find the value of x, then find the value of x.
2x+3x+50+80=360 OR 5x+50+80=360 OR 5x+130=360
x=46
Write an equation to find x, then find the value of x
x+140+150=360
x=70
What is the angle sum of an 88 sided figure?
180(88-2)
180(86)
15,480
What is the measure of each angle of a regular 20 sided figure?
180(20-2)
180(18)
3,240
And 3,240/20=162
Write an equation to find the value of x, then find the value of x.
x+x+40+40+40+40=720 OR 2x+160=720
x=280
Write an equation to find the measure of x, then find the measure of x.
1st) y+30+40=180 so y=110
2nd) x+110=180
So x=70