Since angle B is adjacent to angles A and C, the sum of angles A and B must be equal to the sum of angles B and C. Mathematically, this can be represented as:
m∠A + m∠B = m∠B + m∠C
Since we are given that m∠C = 75°, we can substitute this value into the equation:
m∠A + m∠B = m∠B + 75
Simplifying the equation, we can subtract m∠B from both sides:
m∠A = 75
Therefore, m∠A is equal to 75°. Answer: 75°
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°
1 answer