pchen28
pchen28 pchen28
  • 20-05-2019
  • Mathematics
contestada

The difference of the same side interior angles of two parallel lines is 50°. Find all angles.

Respuesta :

calculista
calculista calculista
  • 29-05-2019

Answer:

The angles are 65° and 115°

Step-by-step explanation:

Let

x,y ----> the two side interior angles of two parallel lines

we know that

x+y=180° ----> equation A

x-y=50° ----> equation B

Adds equation A and equation B

x+x=180°-50°

2x=130°

x=65°

Find the value of y

x+y=180° -----> 65°+y=180° ----> y=180°-65°=115°

therefore

The angles are 65° and 115°

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