Respuesta :

gmany

Answer:

y = 31

Step-by-step explanation:

We know: opposite angles in a parallelogram have the same measure.

Therefore we have the equation:

[tex]x+y=87+y[/tex]            subtract y from both sides

[tex]x=87[/tex]

We know: the sum of the angle measures in the triangle is 180°.

Therefore we have the equation:

[tex]42+(x+y)+20=180[/tex]          subtitute x = 87

[tex]42+87+y+20=180[/tex]

[tex]149+y=180[/tex]              subtract 149 from both sides

[tex]y=31[/tex]

Ver imagen gmany