Find the value of x and y in the given figure below
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Answer:
x = 80°
y = 75°
Step-by-step explanation:
Refer to the illustration attached.
In ΔOAB,
30° + 50° + ∠OBA = 180° (Sum of interior angles of a triangle is 180°)
80° + ∠OBA = 180°
∠OBA = 180° - 80°
∠OBA = 100°
We know that straight lines angles add up to 180°
Therefore, ∠OBA + x = 180°
=> x = 180° - 100°
=> x = 80°
∠y is the exterior angle of ΔOAC
We know that exterior angle = sum of opposite two interior angles.
Therefore, y = ∠OAB + ∠OCB
=> y = 30° + 45°
=> y = 75°
We have calculated the angles with two different methods. You can use the same property to find both the angles.
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