⊡PQRS is a kite with m∠Q = 130, m∠P = x, and m∠R = 3x. Determine the value of x and find the measure of ∠P, ∠R, and ∠S.
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Answer:
x = 25 ; m∠P = 25 ; m∠R = 75 ; m∠S = 130
one pairs of opposite angle of a kite are equal
Sum of interior angle of quadrilateral = 360° < P + 25 +
X+ 130° + 3x + 130 = 360° 4x + 260 = 360° => X = 100° ५ = 25° 4x = 360°-260° = 100°
Hence M²P = 25°, M²R = 75°, MLS = 130° is
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