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° .(1 point) Responses 15° 15 degrees 75° 75 degrees 180° 180 degrees 105°

Answer 1

[AI-generated answer — Bot GPT 3.5]

Since angles B and C are adjacent, we can conclude that angles A and D are also adjacent.

Therefore, angle A + angle C + angle B + angle D = 360°
Since angle C is 75°, we can substitute it into the equation: angle A + 75° + angle B + angle D = 360°
Since angles A, B, C, and D all have the same vertex, their sum must be 360°.
So we can rewrite the equation as: angle A + 75° + angle B + (360° - angle A - angle B) = 360°
Simplifying the equation, we get: angle A + 75° + angle B + 360° - angle A - angle B = 360°
Canceling out like terms, we get: 75° + 360° = 360°
Simplifying further, we get: 435° = 360°
This is not possible, as the sum of the angles cannot be greater than 360°.
Therefore, there must be an error in the given information or calculations.