Answer:
Step-by-step explanation:
Angle (2x + 15) degrees and 135 degrees lie on a straight line. The sum of the angles on a straight line is 180 degrees. It means that
2x + 15 + 135 = 180
2x + 150 = 180
Subtracting 150 from the left hand side and the right hand side of the equation, it becomes
2x + 150 - 150 = 180 - 150
2x = 30
Dividing the left hand side and the right hand side of the equation by 2, it becomes
2x/2 = 30/2
x = 15
Therefore,
Angle (2x + 15) = 2 × 15 + 15
= 30 + 15 = 45 degrees
Since Line m is parallel to line n, then angle (2x + 15) and angle 1 are alternate angles. Alternate angles are equal. Therefore
Angle 1 = 45 degrees
