In the figure, if angle 1 is 70 degrees, what is the measure of angle 2 if lines

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Question: In the figure, if angle 1 is 70 degrees, what is the measure of angle 2 if lines are parallel?

Options:

Correct Answer: 110 degrees

Solution:

Angle 2 is supplementary to angle 1, so 180 - 70 = 110 degrees.

In the figure, if angle 1 is 70 degrees, what is the measure of angle 2 if lines are parallel?

In the figure, if angle 1 is 70 degrees, what is the measure of angle 2 if lines are parallel?

Step 1: Identify that angle 1 is given as 70 degrees.
Step 2: Understand that angle 1 and angle 2 are on the same side of the transversal and that the lines are parallel.
Step 3: Recall that when two angles are on the same side of the transversal and the lines are parallel, they are supplementary. This means their measures add up to 180 degrees.
Step 4: Set up the equation: angle 1 + angle 2 = 180 degrees.
Step 5: Substitute the value of angle 1 into the equation: 70 + angle 2 = 180.
Step 6: Solve for angle 2 by subtracting 70 from both sides: angle 2 = 180 - 70.
Step 7: Calculate the result: angle 2 = 110 degrees.

Alternate Interior Angles – When two parallel lines are cut by a transversal, alternate interior angles are equal.
Supplementary Angles – Two angles are supplementary if their measures add up to 180 degrees.