162k views
20 votes
Find the value of X, Z, and Y in the graph below?

Find the value of X, Z, and Y in the graph below?-example-1

1 Answer

14 votes

9514 1404 393

Answer:

(x, y, z) = (49, 58, 122)

Explanation:

The same-side exterior angles have a sum of 180°.

(x +9) +(3x -25) = 180

4x -16 = 180

x -4 = 45

x = 49

Vertical angles are congruent:

y = 49 +9 = 58

z = 180 -y = 122 = 3(49) -25

The values of x, y, and z are ...

  • X = 49
  • Z = 122
  • Y = 58
User Ahlam
by
3.4k points