Answer:
Step-by-step explanation:
Line n is a straight line. The sum of the angles on a straight line is 180 degrees. It means that
∠7 + 36 = 180
∠7 = 180 - 36 = 144 degrees
Vertically opposite angles are equal. It means that
∠3 = 36 degrees
∠5 = ∠7 = 144 degrees
Since line m and line n are parallel lines, corresponding angles are equal.
∠5 and ∠2 are corresponding angles. Therefore
∠2 = ∠5 = 144 degrees
∠6 and ∠36 are corresponding angles. Therefore
∠6 = 36 degrees
∠6 + ∠1 = 180 degrees
∠1 = 180 - 36
∠1 = 44 degrees
∠8 + 90 = 180
∠8 = 180 - 90
∠8 = 90 degrees
∠4 + 90 = 180
∠4 = 180 - 90
∠4 = 90 degrees
