Question

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

Answer 1

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°