Respuesta :

Answer:

x = 114, y = 42, w = 53

Step-by-step explanation:

you know that the angles in a triangle always have to add up to 180.

for the left triangle, this means:

[tex]68 + 70 + y = 180\\138 + y = 180\\y = 42[/tex]

then, for the middle triangle, since you now know that y = 42:

[tex]x + y + 24 = 180\\x + 42 + 24 = 180\\x + 66 = 180\\x = 114[/tex]

finally, for the triangle on the right:

[tex]24 + 103 + w = 180\\127 + w = 180\\w = 53[/tex]

Answer:

W= 53 degrease

Y= 43 degrease

Z= 114 degrease

Step-by-step explanation:

All the triangles angles will add up to equal 180 degrease

so you can find and triangle with two angles add them up together and find your missing variable

A1+A2+A3=180

   -(I'm just finding them from left to right)

Y  || So to find "y" all you have to do is

70+68=138 then take that number minus 180

180-138= 42 degrease=Y  (70+68+42=180)

    -and with that information you can find X or W easily

X ||24+y=x  || 24+42= 66 || 180-66=114 (24+42+114=180)

W || 103+24= 127 || 180-127= 53 (103+24+53=180)