Interior Angles
What is the equation for finding the interior angle of a polygon?
180(n-2)
Exterior angles add up to equal how many degrees?
360
What does n stand for?
ex: 180 (n-2)
Number of sides
What are consecutive angles?
Angles that add to 180 degrees and on the same side of the figure
How many sides does an Octagon have?
8
What is the sum of interior angles of 4 sided polygon?
360
What is the value of x if the external angle measurements of a quadrilateral (4 sides) with the angle measurements of:
31, 91, 159, x
x = 79
What is the Pythagorean theorem?
a2+b2=c2
What are supplementary angles?
Angles that add up to 180 degrees.
What shape is the diagonals congruent to each other?
Rectangles
What is the sum of the interior angles of a 7 sided polygon?
900
All polygons, no matter the number of sides, exterior angles add up to equal 180?
True OR False
False
What does each angle in a rectangle equal?
90 degrees
Alternate Interior Angles
Angles on opposite sides of the transversal line and congruent
How many diagonals does a 15 sided polygon have?
n-2 = 13
What is the sum of the interior angles of a 10 sized polygon?
1440
What formula gives the measure of external angles in a Pentagon (5 sides)?
360/n
360/5=72
What is the formula for an exterior angle of a regular polygon?
360/n
What are complementary angles?
Angles that add to 90 degrees.
If an exterior angle of a regular polygon measures 24 degrees, how many sides does the polygon have?
360/24 = 15
15 sides
What is the value of x in a six sided figure with the following angle measurements?
102, 147, 70, 128, 138, x
x = 135
The measure of one interior angle of a regular polygon is 144 degrees. How many sides does it have?
n = 10
180 (n-2) = 144
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n
What does the S in S=(n-2)x180 stand for?
In parallelograms and rectangles, what is congruent?
Opposite Sides and Opposite Angles
The sum of the interior angles of a polygon is 900 degrees. Determine the number of sides.
n= 7 (Heptagon)