Corresponding Angles Diagram
The image shows 2 parallel lines cut by a transversal.Horizontal lines f and g are shown with a transversal line z that goes from the upper left to the lower right. Arrows on the lines f and g indicate that they are parallel. The intersection of lines f and z creates 4 angles. Angle 1 is in the upper left, angle 2 is in the upper right, angle 3 is in the lower left, and angle 4 is in the lower right. The intersection of lines g and z creates 4 angles. Angle 5 is in the upper left, angle 6 is in the upper right, angle 7 is in the lower left, and angle 8 is in the lower right.
Question
Multiple Choice
Use the Corresponding Angles diagram to answer the question.
If mangle5 = 42o, what is mangle4?
(1 point)
Responses
42o
42 o
48o
48 o
128o
128 o
138o
If angle 5 is 42o, then angle 4 would also be 42o since they are corresponding angles.
To find the measure of angle 4, we can use the property that corresponding angles are congruent when two lines are cut by a transversal. Since angle 5 and angle 4 are corresponding angles, their measures are equal.
Given that m(angle 5) = 42°, we can conclude that m(angle 4) is also 42°.
Therefore, the correct answer is 42o.