Parallel Lines
If two parallel lines are cut by a transversal, the corresponding angles are____.
What is congruent?
A line that intersects two or more other lines at different points.
What is a transversal?
If two vertical angles are expressed as 4x and 7x−18, set up the equation to solve for x.
What is 4x = 7x - 18
Name given to angles that add up to 180° when cut by a transversal line.
What are supplementary angles?
When two lines are cut by a transversal and a pair of corresponding angles are x+5 and 45, find x.
What is 40?
In a pair of intersecting lines, the angles opposite each other are called these.
What are vertical angles?
When two parallel lines are cut by a transversal, the alternate exterior angles are _____.
What is congruent?
For angles 5x+2 and 87 in the same position on two parallel lines crossed by a transversal, find x.
What is 17?
Two angles that add up to 90° are called this type of angles.
What are complementary angles?
The supplementary angle equation, where one angle is 4x−10 degrees and the other 110 degrees, is solved to find x .
What is x=30?
Angles that are on the same side of the transversal and inside the two lines are called this type of angles.
What are consecutive interior angles?
Given two parallel lines and a transversal, the measure of one alternate interior angle is 70°. Calculate the measure of the corresponding angle on the other parallel line.
What is 70°?
Given x+20 and 3x−40 are alternate interior angles, calculate x .
What is 30°?
In the context of a transversal, these are opposite the corresponding angles and are always congruent.
What are alternate interior angles?
A pair of alternate exterior angles measure 5x+15 and 2x+45 respectively. Solve for x.
What is x=10
If two parallel lines are cut by a transversal, this relationship holds for alternate interior angles.
What is they are congruent?
Two parallel lines are intersected by a transversal, forming a pair of consecutive interior angles, one of which measures 60°. What is the measure of the other angle?
What is 120°?
The measure of angle 1 is 4x and angle 2 is 2x+40in a transversal context (e.g., corresponding or alternate interior angles). Find the value of x.
What is 20?
The sum of angles around a point is always this.
What is 360 degrees?
Calculate the value of xx if the angles are 3x+10 and 2x+30 being consecutive interior angles.
What is 40?
These angles are formed opposite of each other when two lines intersect and are always equal.
What are vertical angles?
If one angle of two parallel lines cut by a transversal is expressed as 3x+10 and its corresponding angle as 5x−40 , find x .
What is 25?
If consecutive interior angles formed by a transversal are 2x+10 and 3x−5 , write and solve for x.
If two linear pair angles have measures 2x+30 and 3x+20 , find the value of x.
What is 26?
If vertical angles are given by 6x−20 and x+50, determine x.
What is 14?