In the following figure, the values of x and y are respectively
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In the following figure, the values of x and y are respectively
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Answer :
x = 100°, y = 40°
Concept to be used :
Solution :
Here,
x and ∠BAC forms a linear pair of angles.
→ x + ∠BAC = 180°
→ x + 80° = 180° (°•° ∠BAC = 80°)
→ x = 180° - 80°
→ x = 100°
Now,
Using exterior angle property of a triangle in the ∆ABC, we have
→ ∠ABC + ∠BAC = ∠ACY
→ y + 80° = 120° (°•° ∠BAC = 80°, ∠ACY = 120°)
→ y = 120° - 80°
→ y = 40°
Hence, x = 100° and y = 40°.