Answer:Alternate Interior and Exterior Angles:

∠21 ≅ ∠28, ∠22 ≅ ∠27, ∠23 ≅ ∠26, ∠24 ≅ ∠25

∠23 and ∠26, ∠24 and ∠25

m∠24 = 79°

they are supplementary angles

m∠28 = 79°

m∠23 = 101°

180°

they are consecutive interior angles

∠27

180°

Solutions:

1. Since alternate interior and exterior angles are congruent then ∠23 ≅ ∠26, ∠24 ≅ ∠25, ∠21 ≅ ∠28, and ∠22 ≅ ∠27.

2. Alternate - interior angles are ∠23 and ∠26, ∠24 and ∠25.

3. Given m∠21 = 79°, find m∠24.

m∠24 = m∠21 since they are vertical angles

therefore, m∠24 = 79° since vertical angles are equal.

4. ∠27 and ∠28 are supplementary angles since they form a straight line and their sum is equivalent to 180°,

5. Given: m∠26 = 101°, find m∠28.

m∠28 = m∠21 since they are alternate exterior angles

therefore, m∠28 = 79° since alternate exterior angles are equal.

6. Given: m∠26 = 101° and m∠28 = 79°, find m∠23

m∠23 = m∠26 since they are alternate interior angles

therefore, m∠23 = 101° since alternate interior angles are equal.

7. m∠23 + m∠24 = 101° + 79° = 180°

8. ∠23 and ∠25 are consecutive interior angles

9. The pair of alternate - exterior angle is ∠22 and ∠27.

10. m∠24 + m∠25 = 79° + 79° = 158°

What are alternate interior and exterior angles: brainly.ph/question/2496994

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Step-by-step explanation: