From the figure given
Angle 8 = 23 degrees
Angle 8 and angle 4 are corresponding angles
Corresponding angles are equal
Therefore,
Angle 8 = Angle 4
That is, Angle 4 is also 23 degrees
Angle 4 and Angle 6 are alternate to each other
Interior alternate angles are equal to each other
Therefore, Angle 4 = Angle 6
Angle 4 = Angle 6
That is, Angle 6 is also 23 degrees
Angle 6 and angle 3 are supplementary angles
sum of two supplementary angles is 180 degrees
Therefore,
Angle 6 + Angle 3 = 180 degrees
Angle 6 is 23 degree
23 + angle 3 = 180
make angle 3 the subject of the formula
Angle 3 = 180 - 23
Angle 3 = 157 degrees
Angle 3 and angle 5 are alternate to each other
Alternate angles are equal
Angle 3 = Angle 5
Since angle 3 is 157 degree
Therefore Angle 5 is also 157 degrees
Angle 1 and angle 5 are correspond angles
Corresponding angles are equal
since angle 5 is 157
Therefor angle 1 is also 157 degrees
Angle 2 and angle 1 are angles on a straigth line
Angle on a straigth line is 180 degrees
Angle 1 + angle 2 = 180
angle 1 = 157
157 + angle 2 = 180
make angle 2 the subject of the formula
Angle 2 = 180 - 157
Angle 2 = 23 degrees
Answers
Angle 1 = 157 degrees
Angle 2 = 23 degrees
Angle 3 = 157 degrees
Angle 4 = 23 degrees
Angle 5 = 157 degrees
Angle 6 = 23 degrees
Angle 7 = 157 degrees
Angle 8 = 23 degrees
PS: Interior angles on the same side of the transversal are supplementary
