Question

50 Points
answer the question as soon as possible

Answer 1

`\sf \angle 5 = 28^\circ` (False)

`\sf \angle 6 = 28^\circ` (True)

Explanation:

Let's elaborate on each statement:

Statement 1:
`\sf \angle 5 = 28^\circ` (False)

This angle is related to co-interior angles. When two lines are intersected by a transversal, co-interior angles are supplementary, not congruent. In other words, if
`\sf \angle 5` and another angle are co-interior, their sum will be
`180^\circ`, not their individual measures. Therefore, the statement is false because co-interior angles are supplementary, not congruent.

Statement 2:
`\sf \angle 6 = 28^\circ` (True)

This angle is related to alternate interior angles. When two parallel lines are intersected by a transversal, alternate interior angles are congruent. In other words, if
`\sf \angle 6` and another angle are alternate interior angles, their measures will be equal. Therefore, the statement is true because alternate interior angles formed by parallel lines and a transversal are congruent.