Vocabulary
Complimentary Angles add up to how many degrees?
90 degrees
Angle A and Angle B are complementary angles. Angle A is 35 degrees. How many degrees is Angle B?
55 degrees
Suppose <B is equal to 47 degrees. Find a measure of an angle that is supplementary to <A.
133 degrees
What is the purpose of a "diagonal"?
Split a polygon into multiple triangles - sum of 180.
In triangle ABC, angle A is 30 degrees, angle B is 25 degrees, how many degrees is angle C?
125 degrees
What is the name of the relationship of two angles that add up to 180 degrees?
Supplementary Angles
What is the complement of an angle measuring 12 degrees?
78 degrees
If angle 3 = 115 and angle 3 and angle 4 are adjacent, find m<4.
m<4 = 65
What letter describes alternate angles?
Z
In triangle ABC, angle A is 70 degrees, angle B is 65 degrees, a how many degrees is angle C?
45 degrees
Two angles "beside" each other that are the same
Opposite Angles
*daily double*
Rex told Chaz that complementary angles can sometimes have a sum of 180 degrees. Should Chaz believe Rex? Explain Why or Why not
No!! Complementary angles always have a sum of 90 degrees
If the sum of the angles is 180 degrees the angles are supplementary
Darah was explaining to Elizabeth that sometimes supplementary angles add up to 360 degrees, but only if the ray is longer than 5m. Should Elizabeth believe Darah?
No! Supplementary angles will always add to 180.
What word describes this: an angle that is greater than 90 degrees?
Obtuse
Triangle P has two angles that are 70 degrees each, and one that is 40. What type of triangle is this?
Isocelse Triangle
How many degrees are in a Triangle? In a
180 degrees;
Angles A and B are complementary. If <A = 3x and <B = 60, what is x ?
x = 10
Random Fact:
What is the most common letter of the alphabet?
“E” Is the Most Common Letter and Appears in 11 Percent of All English Words
The point where the rays intersect is called...
Vertex
In triangle XYZ, each interior angle is adjacent to an exterior angle. The exterior angles measure 100 degrees, and 120 degrees, as shown on the board.
Find the measure of each interior angle of the triangle.
∠X=180−100=80.
∠Y=180−120=60∘
Angle Z = 180 - 60 - 80 = 40
What is the formula for solving how many degrees are in a polygon?
(n-2) x 180
If m<A and m<B are complementary angles and
<A = 2x and <B = 3x what is the measurements of <A and <B?
x = 18,
<A = 2 x 18 =36
<B = 3 x 18 = 54
True or False? Much like a supplementary angle, co-interior angles or the C pattern always add up to 180 degrees.
True!
Double: What is the interior sum of angles in a decagon? How many triangles can a decagon be split into using diagonals?
1440 degrees. 8 Triangles (n-2) --> 10 - 2 = 8
Who's been listening? What two shapes will NOT be on the quiz? (Get at least one)
Hendecagon (11 sides) and Dodecagon (12 sides)