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)

Question

Responses

A. 75°
75 degrees

B. 105°
  105 degrees

C. 15°
  15 degrees

D. 180°

Answer 1

Since angle B is adjacent to angles A and C, the sum of angles A and C must equal 180 degrees. Since we are given that angle C is 75 degrees, angle A must be 180 - 75 = <<180-75=105>>105 degrees.

Therefore, the answer is B. 105°