Two opposite angles of a parallelogram are (3x – 2)0 and (50 – x)0 . Find the value of x.
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value of x= 13
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Step-by-step explanation:
Given: Two opposite angles of a parallelogram are (3x – 2)° and (50 – x)°.
(3x – 2)°= (50 – x)° [Opposite sides of a parallelogram are equal]
⇒ 3x + x = 50 + 2
⇒ 4x = 52
⇒ x = 13
Angle x is 13°
∴ (3x – 2) = (3*13 – 2) = 37°
(50 – x)° = (50 – 13)°= 37°
∴ x + 37°= 180° [Adjacent angles of a parallelogram are supplementary]
∴ x = 180°− 37°= 143°
Hence, required angles are : 37°, 143°, 37°, 143°.
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