Question

given that lines a and b are parallel what angles formed on line b when cut by transversal are congruent with angle 3

Answer 1

Angle 3 is congruent to both angle 6 and angle 7.

`\measuredangle3=\measuredangle6=\measuredangle7`

Answer:

Given the diagram attached;

Angle 3 is congruent to angle 6.

`\measuredangle3=\measuredangle6`

Reason: Alternate angles are equal.

Secondly, Angle 3 is congruent to angle 2.

`\measuredangle3=\measuredangle2`

Reason: Vertically opposite angles are equal.

Thirdly, Angle 3 is congruent to angle 7.

`\measuredangle3=\measuredangle7`

Reason: Corresponding angls are equal.

Therefore, Since we only need angle that are congruent to angle 3 that are on line b. We have;

Angle 3 is congruent to both angle 6 and angle 7.

`\measuredangle3=\measuredangle6=\measuredangle7`