Answer: option A is the correct answer
Step-by-step explanation:
Since line X is parallel to line Y, it means that angle 1 and angle 2 are corresponding angles. Since corresponding angles are congruent or equal, it means that
4x - 28 = x + 68
Adding 28 to the left hand side and the right hand side of the equation, it becomes
4x - 28 + 28 = x + 68 + 28
4x = x + 96
Subtracting x from both sides of the equation, it becomes
4x - x = x - x + 96
3x = 96
Dividing both sides of the equation by 3, it becomes
3x/3 = 96/3
x = 32
Therefore,
Angle 1 = 4x - 28 = 4 × 32 - 28 = 100 degrees
Angle 2 = x + 68 = 32 + 68 = 100 degrees
