Vertical Angles Quick Check 1 of 51 of 5 Items Question Use the image to answer the question. Which angle is a vertical angle with ∠7 ? (1 point) Responses ∠5 angle 5 ∠6 angle 6 ∠8 angle 8 ∠2

∠5

Four angles share a vertex. m∠1=98° , m∠2=82° , m∠3=98° , and m∠4=82° . Which angle is a vertical pair with ∠1 ?(1 point)

∠3

Two intersecting lines create four angles with the same vertex, labeled A , B , C , and D . Angle B is adjacent to ∠A and ∠C . Find m∠A if m∠C=75° .(1 point) Responses 15° 15 degrees 105° 105 degrees 180° 180 degrees 75°

To find m∠A, we can use the fact that adjacent angles form a straight line, which means their measures add up to 180 degrees. Since ∠C is given as 75°, the measure of ∠B would be 180° - 75° = 105°. Therefore, m∠A would also be 105°.

f m∠4=31° , what is m∠2 ? (1 point) Responses 180°180 degrees 31° 31 degrees 90° 90 degrees 59°

If ∠4 is given as 31°, then ∠2 (which is vertical to ∠4) would also have a measure of 31°.