Question

pls solve the following question by process

Answer 1

Answer:

a = 120 , b and c =60 , d = 120

Answer 2

Answer:

Step-by-step explanation:

First subdivision :

a = 180 - 60 ( Co-interior angles are supplementary, that is they sum up to 180 degrees)

a = 120 degrees

a = d (Alternate exterior angles are equal)

d = 120 degrees

c = b (Vertically opposite angles are equal)

d + b = 180 degrees (all angles on a line sum up to 180 degrees)

120 + b = 180

b = 60 degrees

c = 60 degrees (since b = c)

Therefore, a = 120 degrees, b = 60 degrees, c = 60 degrees, d = 120 degrees

Second subdivision :

They are not parallel.

let us take the angle opposite to the angle of 75 degrees formed by line l and line n to be x.

Also, let the angle of 75 degrees formed by line n and line m to be y.

x = 75 degrees as vertically opposite angles are equal.

in order for l and m to be parallel, x and y must sum up to 180 degrees, which proves that they are co-interior angles. however, 75 + 75 = 150, not 180. so therefore, the two lines are not parallel.

Hope you understood the second subdivision, it may be confusing.