Question: If angle 3 is 30 degrees and angle 4 is an alternate interior angle, what is the measure of angle 4?
Options:
30 degrees
150 degrees
60 degrees
90 degrees
Correct Answer: 30 degrees
Solution:
Alternate interior angles are equal, so angle 4 is also 30 degrees.
If angle 3 is 30 degrees and angle 4 is an alternate interior angle, what is the
Practice Questions
Q1
If angle 3 is 30 degrees and angle 4 is an alternate interior angle, what is the measure of angle 4?
30 degrees
150 degrees
60 degrees
90 degrees
Questions & Step-by-Step Solutions
If angle 3 is 30 degrees and angle 4 is an alternate interior angle, what is the measure of angle 4?
Step 1: Identify that angle 3 is given as 30 degrees.
Step 2: Understand what alternate interior angles are. They are angles that are on opposite sides of a transversal line and inside two parallel lines.
Step 3: Recognize that if angle 3 is 30 degrees, then the alternate interior angle (angle 4) must be equal to angle 3.
Step 4: Conclude that since angle 3 is 30 degrees, angle 4 is also 30 degrees.
Alternate Interior Angles – Alternate interior angles are pairs of angles that are on opposite sides of a transversal and inside the two lines it intersects. They are equal when the lines are parallel.
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