Answer:
x = 150 , y = 30 , z = 60
Explanation:
x and 30° are same- side interior angles and sum to 180° , that is
x + 30 = 180 ( subtract 30 from both sides )
x = 150
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x and y are a linear pair and sum to 180° , that is
x + y = 180
150 + y = 180 ( subtract 150 from both sides )
y = 30
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since EF and EG are congruent then Δ EFG is isosceles with base angles congruent , then
2 = y = 30
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
z is an exterior angle of Δ EFG , then
z = ∠ 2 + ∠ y = 30 + 30 = 60