How many triangles can be formed inside a 13-gon figure?
13-2=
11 triangles
What is the sum of the exterior angles of a 100-sided figure?
360 degrees
(Every polygon's sum always adds up to 360 degrees.)
What quadrilateral is it if all of the sides are congruent and all of the angles are congruent?
A square
What vocabulary word is parallel to the bases of a trapezoid
The midsegment
Find X
x+25=85
x=60
What is the sum of the interior angles of a pentagon
(5-2) xx 180 = 540
What is the formula to find each exterior angle of any polygon
360/n
where n= the # of sides on a polygon
What quadrilateral is it if both pairs of the opposite sides are congruent and all of the angles are congruent? (Must have all that apply)
A rectangle
A square
What is the midsegment
(26+12)/2=x
x=19
Solve for X
8x+7x=180
15x=180
x=12
For a regular polygon with 8 sides, what is each interior angle?
(8-2) xx 180 = 1080
1080/8= 135
If the each interior angle of a polygon is 176, what is each exterior angle?
180-176=4
What quadrilateral is it if both pairs of the opposite sides are congruent and parallel?
(Must have all that apply)
A parallelogram
A square
A rectangle
A rhombus
What is the length of BD?
6+6=12
For the rhombus below, Find the length of BC
3x+11=5x+3
11=2x+3
8=2x
x=4
3(4)+11=23
How many sides does a polygon have if the sum of the interior angles is equal 720 degrees?
(n-2) xx 180 = 720
(n-2)=4
n=6
How many sides are there on a polygon if each interior angle is 178 degrees?
180-178=2
360/2
=180 sides
What quadrilateral is it if all the sides are congruent and where both pairs of the opposite sides are parallel?
(must have all that apply)
A rhombus
A Square
Find X
(X + 3 + 4x + 7)/2 =15
5x+10=30
5x=20
x=4
What is the value for X
2x+4=4x-14
4=2x-14
18=2x
x=9
12=2x-6
18=2x
x=9
The measures of 5 interior angles of a hexagon are 70, 100, 130, 145, and 150 degrees.
What is the measure of the 6th interior angle?
70+100+130+145+150+x=720
595+x=720
x=125
The measures of 5 exterior angles of a hexagon are 70, 110, 30, 15, and 50 degrees.
What is the measure of the 6th interior angle
70 + 110 + 30 + 15 + 50 + x = 360
275+x=360
x = 85 degrees
What quadrilateral is it if exactly one pair of opposite sides are congruent and parallel and the diagonals are equal?
An Isosceles Trapezoid
What is angle 3?
51+90+x=180
141+x=180
x=39
Below is a parallelogram, what is the angle of J in degrees
360 = 57 xx 2 + x/2
360= 114+ x/2
246= x/2
x=123