Corresponding Angles Diagram 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 m5 = 42o, what is m4? (1 point) Responses 42o 42 o 48o 48 o 128o 128 o 138o

Question

Corresponding Angles Diagram 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 m5 = 42o, what is m4? (1 point) Responses 42o 42 o 48o 48 o 128o 128 o 138o

Answer 1

Based on the corresponding angles diagram, angle 5 and angle 4 are corresponding angles since they are in the same position relative to the transversal line. Therefore, if m5 (angle 5) is 42°, then m4 (angle 4) would also be 42°.

Thus, the correct answer is 42°.

Answer 2

In the given diagram, lines f and g are parallel and transversal line z intersects them. We are given that angle 5 measures 42 degrees (m5 = 42°) and we need to find the measure of angle 4 (m4).

Since lines f and g are parallel, angle 5 and angle 4 are corresponding angles. Corresponding angles that are formed when parallel lines are intersected by a transversal are congruent (i.e., they have the same measure).

Therefore, if m5 = 42°, then m4 must also be 42°.

So, the answer is: 42°

Answer 3

To find the measure of angle 4 (m4), we can use the property of corresponding angles. Corresponding angles are angles that are in the same relative position at each intersection when a transversal intersects two parallel lines.

In this case, angle 5 and angle 4 are corresponding angles because they are in the same relative position at the intersection of line z with the parallel lines f and g.

We are given that m5 (the measure of angle 5) is 42 degrees. Since angle 5 and angle 4 are corresponding angles, they have the same measure. Therefore, m4 is also 42 degrees.

So, the correct answer is "42o".