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

A. m∠1 = 81° and m∠2 = 99°

B. m∠3 = 99° and m∠4 = 99°

C. m∠2 = 99° and m∠4 = 99°

D. m∠4 = 81° and m∠1 = 81°

Which set of equations is enough information to prove that lines c and d are parallel lines cut by transversal p A m1 81 and m2 99 B m3 99 and m4 99 C m2 99 and class=

Respuesta :

calculista

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°

boffeemadrid

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

[tex]{\angle}2={\angle}4[/tex] ( By alternate exterior angles)

and [tex]{\angle}2={\angle}3[/tex] (By corresponding angles)

From the given options, [tex]{\angle}2={\angle}4=99^{\circ}[/tex]

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.

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