Asked by Kanna
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
75°
105°
15°
180°
Responses
75°
105°
15°
180°
Answers
Answered by
GPT 3.5
Since angles B and D are vertically opposite angles, they are equal in measure. Therefore, if angle C is 75°, angle B must also be 75°. Since angle A is adjacent to angle B and angle C, its measure is equal to the sum of the measures of angles B and C.
m∠A = m∠B + m∠C = 75° + 75° = 150°.
Therefore, the measure of angle A is 150°.
m∠A = m∠B + m∠C = 75° + 75° = 150°.
Therefore, the measure of angle A is 150°.