In a diagram with two parallel lines and a transversal, if angle 3 is 30 degrees
Practice Questions
Q1
In a diagram with two parallel lines and a transversal, if angle 3 is 30 degrees, what is the measure of angle 4, which is an alternate interior angle?
30 degrees
150 degrees
90 degrees
60 degrees
Questions & Step-by-Step Solutions
In a diagram with two parallel lines and a transversal, if angle 3 is 30 degrees, what is the measure of angle 4, which is an alternate interior angle?
Step 1: Identify the two parallel lines in the diagram.
Step 2: Identify the transversal line that crosses the two parallel lines.
Step 3: Locate angle 3, which is given as 30 degrees.
Step 4: Understand that alternate interior angles are the angles that are on opposite sides of the transversal and inside the parallel lines.
Step 5: Identify angle 4, which is the alternate interior angle to angle 3.
Step 6: Since alternate interior angles are equal, conclude that angle 4 is also 30 degrees.