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Question
In parallelogram PQRS, ∠Q = (4x – 5)° and ∠S = (3x + 10)°. Calculate: ∠Q and ∠R.
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Solution
In parallelogram PQRS,
∠Q = (4x – 5)° and ∠S = (3x + 10)°
opposite ∠s of //gm are equal.
∠Q = ∠S
4x – 5 = 3x + 10
4x – 3x = 10+5
x = 15
∠Q = 4x – 5 =4 x 15 – 5 = 55°
Also ∠Q + ∠R = 180°
55° + ∠R = 180°
∠R = 180°–55° = 125°
∠Q = 55° ; ∠R = 125°
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