Question

Which set of equations is enough information to prove that lines c and d are parallel lines cut by transversal p?

Answer 1

we know that

if c and d are parallel lines

then

m∠2=m∠4 -------> by alternate exterior angles

m∠2=m∠3 -------> by corresponding angles

therefore

the answer is the option C

m∠2 = 99° and m∠4 = 99°

Answer 2

Answer:

(C)

Step-by-step explanation:

Let us consider that c is parallel to d and p is the transversal, then using the properties of parallel lines, we have

${\angle}2={\angle}4$ ( By alternate exterior angles)

and ${\angle}2={\angle}3$ (By corresponding angles)

From the given options, ${\angle}2={\angle}4=99^{\circ}$

Thus, the set of equation  to prove that lines c and d are parallel lines cut by transversal p is (C) m∠2 = 99° and m∠4 = 99°

Hence, option (C) is correct.