Two intersecting lines create four angles with the same vertex, labeled A, B, C, and D. Angle B is adjacent to angle A and angle C. Find angle A if angle C equals 75°
Since angles A and C are adjacent, they share a side. Therefore, the sum of angles A and C equals 180° (because they form a straight line). We can write this as:
A + C = 180°
We also know that angle C is equal to 75°. We can substitute this value into the equation:
A + 75° = 180°
To solve for A, we can subtract 75° from both sides of the equation:
A = 180° - 75°
A = 105°
Therefore, angle A is equal to 105°.