Question

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Answer 1

Answer:

∠X = 130° and ∠Y = 100°

Step-by-step explanation:

To find ∠Y here we have used the angle sum property on a straight line

Since ∠Y and ∠CBX lie on the same line ∠Y + 80° = 180°

Therefore ∠Y = (180° - 80°) or 100°

In △ ABC ,

∠CAB + ∠Y + ∠ABC = 180° (∵ Angle sum property of a △)

30° + 100° + ∠ABC = 180°

∠ABC = 180° - (100° + 30°)

∠ABC = 50°

To find ∠X here we have used the angle sum property on a straight line

Since ∠X and ∠ABC are on a straight line ∠X + 50° = 180°

Therefore ∠X = (180° - 50°) or 130°