12) PQRS is a kite. Find the values of x and y in the given figure:
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From the given Figure The kite is divided Into two triangle
We know that,
Sum of all angles of a triangle = 180°
In ∆PQS
60° + x° + x ° = 180°
60° + 2x° = 180°
2x° = 180° – 60°
2x° = 120°
x° = 120/2
x = 60°
And,
In other triangle,
30° + y° + y° = 180°
30° + 2y° = 180°
2y° = 180° – 30°
2y° = 150°
y° = 150/2
y = 75°
Hope it helps
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