HELP ITS DUE TODAY!!!!!!!!!!!!!!!!!!!!!!!!!! Find the values of x, y, and z in the diagram below. Remember what we learned about the interior and exterior angles of triangles!

Question

asked May 20, 2021 186k views

1 Answer

Arati · Answer 1 · 2021-05-25T23:25:08+0000

Answer/Step-by-step explanation:

x + 74° + 20° = 180° (sum of interior angles of a triangle)

x + 94° = 180°

x = 180° - 94° (subtraction property of equality)

x = 86°

y = 74° + 20° (exterior angle theorem of a triangle)

y = 94°

y + z + 32° = 180° (sum of interior angles of a ∆)

Plug in the value of y

94 + z + 32 = 180

z + 126 = 180

z = 180 - 126

z = 54°