Basic Angle Types
An angle equal to 90 degrees.
What is a right angle?
Two angles that add up to 90 degrees.
What are complementary angles?
Two angles that share a common side and vertex, but do not overlap, are called this.
What are adjacent angles?
Vertical angles are always this to each other.
What is equal?
A line that intersects two or more lines at different points is called this.
What is a transversal?
An angle greater than 0 degrees and less than 90 degrees.
What is an acute angle?
Two angles that add up to 180 degrees.
What are supplementary angles?
If two angles are adjacent and form a straight line, they are also the exact example of this angle type.
What is supplementary?
If two intersecting lines form angles of 70, 110, 70, and 110 degrees, the pairs of vertical angles are these.
What are 70 and 70 degrees or 110 and 110 degrees?
If a transversal intersects two parallel lines, the corresponding angles are always this.
What are equal?
An angle greater than 90 degrees but less than 180 degrees.
What is an obtuse angle?
The complement of a 45-degree angle.
What is a 45-degree angle?
Adjacent angles can sometimes be these, but vertical angles cannot.
What is complementary?
If one of the vertical angles is 85 degrees, this is the measure of its vertical pair.
What is 85 degrees?
If two parallel lines are cut by a transversal, the alternate interior angles are this kind of angle.
What are congruent?
An angle that measures exactly 180 degrees.
What is a straight angle?
The supplement of a 110-degree angle.
What is a 70-degree angle?
If two adjacent angles form a right angle and one measures 30 degrees, find the measure of the other angle.
What is 60 degrees?
If two angles are vertical and one angle measures (2x + 5) degrees while the other measures (4x - 25) degrees, solve for x.
What is x = 15?
If a transversal forms angles measuring 120 degrees and x degrees, and they are consecutive interior angles, find x.
What is 60 degrees?
An angle greater than 180 degrees and less than 360 degrees.
What is a reflex angle?
If two angles are complementary and one is twice the other, find the smaller angle.
What is 30 degrees?
In a specific layout, two adjacent angles measure (3x - 5) degrees and (2x + 10) degrees. If their total is 90 degrees, solve for x.
What is x = 17?
Given two vertical angles, one measuring (3x + 10) degrees and the other (5x - 30) degrees, find the measure of each angle.
What is 80 degrees?
Given that a transversal intersects parallel lines and forms angles (2y + 20) degrees and (3x - 10) degrees, where they are alternate exterior angles, solve for x and y assuming they are equal.
What is y = 10, x = 20?