Question

5. In the figure, find angles x, y and z. angle DOE= 95º and Z angleGED = 55°, angleGDO = 30°.
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Answer 1

Answer:

x=y=z=30 it's your answer

Answer 2

In ∆DOE by Angle sum property,

x + ∠DOE + ∠OED = 180

» x + 95 + 55 = 180

» x + 150 = 180

» x = 180 - 150

» x = 30°

We know that exterior angle (∠DOE) is equal to sum of two interior angles (z & ∠GDO) in a triangle (∆GOD).

So, z + ∠GDO = ∠DOE

» z + 30 = 95

» z = 95 - 30

» z = 65°