johnnyorozco2019 johnnyorozco2019
  • 24-06-2022
  • Mathematics
contestada

Lines l1 and l2 are parallel and l3 is a transversal.



Which statement is true?

A
m∠2+m∠4=180°

B
m∠2+m∠3=180°

C
m∠1=m∠4

D
m∠1=90°

Lines l1 and l2 are parallel and l3 is a transversal Which statement is true A m2m4180 B m2m3180 C m1m4 D m190 class=

Respuesta :

FromEarth FromEarth
  • 24-06-2022

Answer:

C. m∠1 = m∠4

Step-by-step explanation:

A. m∠2 + m∠4 = 180°

∠2 and ∠4 are vertically opp. angles which means m∠2 = m∠4.

Hence, it's a false statement.

B. m∠2 + m∠3 = 180°

∠2 and ∠3 are corresponding angles which means m∠2 = m∠3.

It's a false statement.

C. m∠1 = m∠4

∠1 and ∠4 are another pair of corresponding angles which clearly states that m∠1 = m∠4.

Therefore, it's a true statement.

D. m∠1 = 90°

As clearly visible in the diagram;

It's a false statement.

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