All Basic Geometry Resources
Example Questions
Example Question #1594 : Basic Geometry
If lines A and B are parallel, what is the measurement of ?
Notice that and are corresponding angles. This means that they possess the same angular measurements; thus, we can write the following:
Now, notice that and the provided angle of angle are vertical angles. Vertical angles share the same angle measurements; therefore, we may write the following:
If and , then
Example Question #11 : Geometry
Angle measures
is the bisector of
is the bisector of
What is the measure of ?
Let's begin by observing the larger angle. is cut into two 10-degree angles by . This means that angles and equal 10 degrees. Next, we are told that bisects , which creates two 5-degree angles. consists of , which is 10 degrees, and , which is 5 degrees. We need to add the two angles together to solve the problem.
Example Question #181 : Coordinate Geometry
If , , and , what is the measure, in degrees, of ?
62
148
32
122
58
148
The question states that . The alternate interior angle theorem states that if two parallel lines are cut by a transversal, then pairs of alternate interior angles are congruent; therefore, we know the following measure:
The sum of angles of a triangle is equal to 180 degrees. The question states that ; therefore we know the following measure:
Use this information to solve for the missing angle:
The degree measure of a straight line is 180 degrees; therefore, we can write the following equation:
The measure of is 148 degrees.