If angle C is 30 degrees and is an interior angle on the same side of the transv
Practice Questions
Q1
If angle C is 30 degrees and is an interior angle on the same side of the transversal as angle D, what is the measure of angle D if the lines are parallel?
30 degrees
150 degrees
90 degrees
180 degrees
Questions & Step-by-Step Solutions
If angle C is 30 degrees and is an interior angle on the same side of the transversal as angle D, what is the measure of angle D if the lines are parallel?
Step 1: Identify that angle C is 30 degrees.
Step 2: Understand that angle C and angle D are interior angles on the same side of the transversal.
Step 3: Recall that when two lines are parallel, interior angles on the same side of the transversal are supplementary, meaning they add up to 180 degrees.
Step 4: Set up the equation: angle C + angle D = 180 degrees.
Step 5: Substitute the value of angle C into the equation: 30 + angle D = 180.
Step 6: Solve for angle D by subtracting 30 from both sides: angle D = 180 - 30.
Step 7: Calculate the result: angle D = 150 degrees.
Interior Angles and Transversals – When two parallel lines are cut by a transversal, the interior angles on the same side of the transversal are supplementary.
