Angles and Parallel Lines Quick Check 1 of 51 of 5 Items Question Use the figure to answer the question. Using facts about the angles formed when parallel lines are cut by a transversal, what relationship can you establish between angle 5 and angle 1?(1 point) Responses corresponding angles corresponding angles vertical angles vertical angles alternate exterior angles alternate exterior angles alternate interior angles alternate interior angles
The relationship that can be established between angle 5 and angle 1 is alternate interior angles.
Angles and Parallel Lines Quick Check 2 of 52 of 5 Items Question Use the figure to answer the question. What is the relationship between angle 3 and angle 6? (1 point) Responses vertical angles vertical angles alternate interior angles alternate interior angles corresponding angles corresponding angles alternate exterior angles alternate exterior angles Skip to navigation
The relationship between angle 3 and angle 6 is vertical angles.
Angles and Parallel Lines Quick Check 3 of 53 of 5 Items Question Use the figure to answer the question. If angle 1 in the picture is 63° , what is the measure of angle 3? Why? (1 point) Responses Angle 3 is 63° because angle 1 and angle 3 are vertical angles. Angle 3 is 63 degrees because angle 1 and angle 3 are vertical angles. There is not enough information in the figure to establish this. There is not enough information in the figure to establish this. Angle 3 is 117° because angle 1 and angle 3 form a line. Angle 3 is 117 degrees because angle 1 and angle 3 form a line. Angle 3 is 63° because angle 1 and angle 3 are corresponding angles. Angle 3 is 63 degrees because angle 1 and angle 3 are corresponding angles.
Angle 3 is 63° because angle 1 and angle 3 are corresponding angles.
Calculate the supplement of an angle that measures 85° .(1 point) Responses The supplement is 95° because 180°−85°=95°. The supplement is 95 degrees because 180 degrees minus 85 degrees equals 95 degrees . The supplement of the angle is −95° because 85°−180°=−95°. The supplement of the angle is negative 95 degrees because 85 degrees minus 180 degrees equals negative 95 degrees . The supplement of the angle is 5° because 90°−85°=5°. The supplement of the angle is 5 degrees because 90 degrees minus 85 degrees equals 5 degrees . The supplement of the angle is 85° because supplementary angles are congruent.
The supplement of an angle that measures 85° is 95° because 180° - 85° equals 95°.
Angles and Parallel Lines Quick Check 5 of 55 of 5 Items Question Use the image to answer the question. Which angles are congruent to ∠4 ? (1 point) Responses ∠2 is congruent to ∠4. angle 2 is congruent to angle 4 . ∠1 is congruent to ∠4. angle 1 is congruent to angle 4 . ∠5 is congruent to ∠4. angle 5 is congruent to angle 4 . ∠1, ∠5 and ∠8 are congruent to ∠4
∠2 is congruent to ∠4.
To determine the relationship between angle 5 and angle 1, we need to identify the angles formed when parallel lines are cut by a transversal.
In this case, we can observe that angle 5 and angle 1 are both exterior angles, which are formed on the same side of the transversal and on the outside of the parallel lines. When parallel lines are cut by a transversal, the pairs of corresponding exterior angles are congruent.
Hence, the relationship between angle 5 and angle 1 is that they are congruent alternate exterior angles.
Therefore, the correct response is "alternate exterior angles."