Respuesta :

Answer:

y=55

z=38

x=84

Step-by-step explanation:

Important thing to understand is that the angles in a triangle all add up to 180

A straight line also has an angle measure of 180

In the triangle on the left hand side. You can find y pretty easily

35+90 ( the angle is marked as a right angle) = 125

180-125 = 55

so y = 55

z can be found the same way

52+90 ( again marked) = 142

180-142 = 38

so z = 38

Since a straight line has a angle measure of 180 we can find x

z+y+x = 180

38+55+x=180

96+x=180

x=84

z:-

  • 180-52-90
  • 180-142
  • 38°

x

  • x+z=35+90
  • x+38=125
  • x=87°

y:-

  • 180-90-35
  • 180-125
  • 55°