Types of Angles
What do you call angles that add up to 90 degrees?
Complementary angles
What are the angles formed opposite to each other when two lines intersect?
Vertical angles
Define complementary angles
the sum of the two angles is 90°
What is the sum of the interior angles of a triangle?
180 degrees
How many sides does a Pentagon have?
5 sides
In a right angle, what is the measure of the angle?
90 degrees
If one of the vertical angles measures 70 degrees, what is the measure of its adjacent angle?
110 degrees
If one angle is 40 degrees, what is the measure of its complement?
50 degrees
If one angle in a triangle is 50 degrees, and another is 70 degrees, what is the measure of the third angle?
60 degrees
In a regular hexagon, how many diagonals can be drawn from one vertex?
3 diagonals
How are obtuse angles defined?
More than 90 degrees
What is the relationship between vertical angles?
Both angles are congruent
What do you call angles that add up to 180 degrees?
Supplementary angles.
What is an equilateral triangle?
All angles are 60 degrees and all three sides have the same length.
Explain the interior angle sum of a quadrilateral.
2 x 180 degrees =360 degrees
Define supplementary angles.
The sum of angles equals 180 degrees
Explain why vertical angles are congruent
They are opposite from the vertex.
Explain the relationship between complementary angles.
The angle sum is 90 degrees.
In an isosceles triangle, how are the base angles related?
The base angles of an isosceles triangle are always congruent.
If a polygon has 12 sides, how many triangles can be formed by drawing all of the diagonals from a single vertex?
10 triangles
If one angle in a linear pair is 45 degrees, what is the measure of its adjacent angle?
135 degrees
If one angle is 120 degrees, what is the measure of the vertical angle it forms?
120 degrees
If one angle is 100 degrees, what is the measure of the angle that makes it supplementary?
80 degrees
If one angle in a right triangle is 80 degrees, what is the measure of the other acute angle?
10 degrees
How many degrees are in the sum of the interior angles of a heptagon?
900 degrees