Interior Angles
The sum of the interior angles of a triangle is...
180
The sum of the exterior angles on any polygon is...
360
Given the number of sides of a polygon, what is the equation for finding the exterior angle?
360/n
Parallelogram
In rhombus JKLM, JL and MK are diagonals, N is the midpoint. If MK = 30 and NL = 13, find JL.
JL = 26
The formula for the sum of the interior angles of a polygon with n sides is...
180(n-2)
The measure of the exterior angles of a regular hexagon is...
60 degrees
A regular hexagon has an interior angle equal to 15x - 5. Find x.
x = 8
What makes a polygon regular?
All sides and angles are congruent.
Which quadrilaterals always have diagonals that bisect opposite angles?
Rhombi & Squares
1260 degrees
The sum of the exterior angles of a 36-gon is...
360 degrees
A polygon has an exterior angle of 8 degrees. How many sides does it have?
45 sides
EF = 21
Which quadrilaterals always have opposite angles that are congruent?
Parallelograms, Rectangles, Rhombi, Squares
The sum of the interior angles of a polygon with 17 sides is...
2700
The measure of an exterior angle of a regular quadrilateral is...
90 degrees
The sum of interior angles of a polygon is 3600. What is the measure of one exterior angle? (Round to the nearest tenth if needed)
16.4
I'm thinking of a regular quadrilateral. What do we call this shape?
Square
In isosceles trapezoid ABCD, AB and CD are bases and EF is a midsegment. If AB = 5x + 4, CD = 10x -7 and EF = 36. Solve for x.
x = 5
The sum of the interior angles of a polygon with 1000 sides is...
179640 degrees
A regular polygon with an exterior angle measure of 18 degrees has how many sides?
20
An exterior angle measures 20 degrees. What is the sum of interior angles?
2880
True or false: A rhombus always has diagonals that are perpendicular and congruent.
FALSE! Only diagonals are perpendicular
An isosceles trapezoid has legs JM & KL. If the measure of angle M=3x+38 and L=7x-10, find the measure of angle J.
J = 108