Question: If angle 5 is 110 degrees and lines c and d are parallel, what is the measure of angle 6, which is a corresponding angle?
Options:
70 degrees
110 degrees
180 degrees
90 degrees
Correct Answer: 110 degrees
Solution:
Corresponding angles are equal, so angle 6 = 110 degrees.
If angle 5 is 110 degrees and lines c and d are parallel, what is the measure of
Practice Questions
Q1
If angle 5 is 110 degrees and lines c and d are parallel, what is the measure of angle 6, which is a corresponding angle?
70 degrees
110 degrees
180 degrees
90 degrees
Questions & Step-by-Step Solutions
If angle 5 is 110 degrees and lines c and d are parallel, what is the measure of angle 6, which is a corresponding angle?
Step 1: Identify that angle 5 is given as 110 degrees.
Step 2: Recognize that lines c and d are parallel.
Step 3: Understand the definition of corresponding angles: they are angles that are in the same position on different parallel lines when a transversal crosses them.
Step 4: Since angle 5 is a corresponding angle to angle 6, and angle 5 measures 110 degrees, angle 6 must also measure 110 degrees.
Step 5: Conclude that angle 6 = 110 degrees.
Corresponding Angles – When two parallel lines are cut by a transversal, the angles in corresponding positions are equal.
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