Question

................. help please

Answer 1

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

Answer 2

Answer:

x = 15

m∠1 = 45°

Step-by-step explanation:

2x + 15 + 135 = 180

2x = 180 - 15 - 135

2x = 30

x = 30/2

x = 15

180 - 135 = 45°