Question

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° Responses

15 degrees

105 degrees

75 degrees

180 degrees

Answer 1

Since angles A and C are adjacent to angle B, this means that angles A and C add up to 180 degrees. Therefore, if angle C is 75 degrees, then angle A must be 180 - 75 = 105 degrees. Thus, m∠A = 105 degrees.