Use alternate interior angles theorem diagram to answer

a) Since p║r (given) and ∠1 ≅ ∠5 (given), then ∠4 ≅ ∠1 by the alternate interior angles theorem.

b) Since p║r (given), then ∠4 ≅ ∠5 by the alternate interior angles theorem.

c) Given.

Step-by-step explanation:

The Alternate Interior Angles Theorem states that, when two parallel lines (p and r in this case) are cut by a transversal line (q), the resulting alternate interior angles (∠3 and ∠6, ∠4 and ∠5 ) are congruent. So, in this case:

                                  if p║r, then ∠3 ≅ ∠6 and ∠4 ≅ ∠5.

so the possibilities of the measurement of the side of the triangle are either it is longest side or not the longest side

when it is the longest side

s < 25 + 35s < 60

if it is not the longest side

35 < 25 + s10 < sso 10 < s < 60so the perimeter70 < p < 130