1.

Two opposite angles of a parallelogram are (3x - 2)° and (50 - x)°. Find the measure of each angle of the parallelogram.

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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