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Two opposite angles of a parallelogram are (3x - 2)° and (50 - x)°. Find the measure of each angle of the parallelogram. |
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Answer» We know that opposite angles of a parallelogram are equal. Therefore (3x - 2)° = (50 - x)° 3x - 2° = 50° - x 3x° + x = 50° + 2° 4x = 52° x = \(\frac{52°}{4}\) = 13° Measure of opposite angles are: 3x - 2 = 3 × 13°-2 = 37° (50 - x)° = 50 - 13 = 37° Sum of adjacent angles = 180° Other two angles are 180° - 37° = 143° each |
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