Q4. Find the value of Y in the following figure.
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Answer:
B] 65°
Step-by-step explanation:
Concept used:
The Sum of all angles around a point is always 360°.
Solution:
Applying the above concept,
50° + 40° + 130° + (2y + 10)° = 360°
⇒ 90° + 130° + 2y + 10° = 360°
⇒ 230° + 2y = 360°
⇒ 2y = 360° - 230°
⇒ 2y = 130°
⇒ y = 65°
∴ The value of y in the given figure = 65°
KNOW MORE:
Angle sum Property states that sum of all angles in a triangle is always 180°.
This is known as Angle Sum Property.
Similarly in a quadrilateral, sum of all angles is equal to 360°.
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