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प्रश्न
In parallelogram PQRS, ∠P = (9x – 5)° and ∠Q = (4x – 10)°. Find the values of x and ∠R.
बेरीज
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उत्तर
In parallelogram PQRS, ∠P = (9x – 5)° and ∠Q = (4x – 10)°
We know the measure of a straight angle is 180°
⇒ ∠P + ∠Q = 180°
⇒ 9x – 5 + 4x – 10 = 180°
⇒ 13x = 180° + 15°
⇒ 13x = 195°
⇒ x = 15°
The opposite sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.
And ∠P = 9x – 5 = 9 × 15 – 5
⇒ 9 × 15 – 5 = 135 – 5 = 130° = ∠R
Hence, this is required.
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