interior angles
The four angle of a pentagon are equal and the fifth angle measure 140°. Find the measure of four equal angles.
100°
What degrees are all exterior polygons equal to?
360
Given parallelogram ABCD, find 𝑚∠𝐵.
Where:
A= 3x-12
D= 2x+2
𝑚∠𝐵=34
The sum of interior angles is 180°, what type of polygon is it?
triangle
“distance ((x, y), (x, y))”
What is the sum of interior angles for a quadrilateral?
360 degrees
What is the size of one exterior angle
of a regular hendecagon (11-sided
polygon)?
32.73
What is the sum of the exterior for a nonagon?
360
The sum of interior angles is 360°, what type of polygon is it?
Quadrilateral
Name a property of a parallelogram
Properties of Parallelogram:
Opposite sides are parallel
Opposite sides are equal
Opposite angles are equal
Adjacent angles add up to 180 degrees
Diagonals bisect each other
You have a shape with 5 sides...
2 angles are labeled 90
1 angle is labeled x
the last two angles are labeled (2x-20)
What is the value of x?
x=80
Find x when your 5 exterior angles are:
71
84
63
x
86
x=56
Is it possible to construct a polygon, the sum of whose interior angles is 20 right angles? If yes, find the number of sides of the polygon.
Yes, 12
The sum of interior angles is 540°, what type of polygon is it?
Pentagon
Name a property of a square.
Properties of Square:
All properties of parallelogram are true for squares.
All sides are equal
All angles are right angles
Diagonals are perpendicular
Four of the angles of a pentagon are equal. The fifth angle is 40°. Find the angles.
125°, 125°, 125°, 125° and 40°
The exterior angles of a nonagon are x°, x°, 2x°, 3x°, 4x°, 5x°, 6x°, 7x° and 7x° What is the size of the smallest interior angle of this octagon?
10
The angles of a pentagon are x°, (x – 5)°, (x + 15)°, (3x – 44)° and (x – 70)°. Find x.
92
The sum of interior angles is 1080°, what type of polygon is it?
Octagon
Name a property of a rhombus.
Properties of Rhombus:
All properties of parallelogram are true for rhombus.
All sides are equal
Diagonals are perpendicular
One of the angle of a polygon is 100° and each of the other angles is 110°. Find the number of sides in the polygon.
5
An exterior angle in a regular polygon measures 14.4°. How many sides does the polygon have?
25
Find the number of sides of a regular polygon if each of its exterior angle is 45°.
8
How do you find the sum of interior angles of any polygon?
(n−2) × 180°
Name a property of a rectangle.
Properties of Rectangle:
All properties of parallelogram are true for rectangles.
All angles are right angles
Diagonals are equal.