Question

Transversal t cuts parallel lines a and b as shown in the diagram. Which equation is necessarily true?

Answer 1

Given that,

Transversal line t cuts the two parallel lines a and b as shown in the figure.

To find equation that is true.

Step-by-step explanation:

Since the transversal line t cuts the two parallel lines a and b, we say that the following conditions are true.

Corresponding angles are equal.

Alternate angles are equal.

Co-interior angles are supplementary.

Vertically opposite angles are equal.

From the given options we get the correct option,

`\angle3+\angle5=180\degree`

Since by, Co-interior angles are supplementary.

Answer is:

`\angle3+\angle5=180\degree`