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The sum of angles that are formed on a straight line is equal to 180°.
So , ∠x+150°=180°,
∠x=180°-150°,
∠x=30°.
As you know sum of all angles in a triangle is also 180°.
So , ∠x+∠y+80°=180°,
∠y+30°+80°=180°,
∠y+110°=180°,
∠y=180°-110°,
∠y=70°.
Extra: ∠z is also 70° because ∠y=∠z (adjacent sides).
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