Question
In a parallelogram, two adjacent angles are (3x + 10)°
and (x + 30)°. Find the larger angle.Solution
ATQ, Adjacent angles in a parallelogram are supplementary: (3x + 10) + (x + 30) = 180 4x + 40 = 180 4x = 140 x = 35 Angles: 3x + 10 = 3*35 + 10 = 105 + 10 = 115° x + 30 = 35 + 30 = 65° Larger angle = 115°
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