Question

The Measure of Opposite angles of a
Parallelogram are (3x-2) & (50-x);
find the Measure of its adjacent Angles correct answer​

Answer 1

We know that

Opposite sides of a parallelogram are equal

∴ 3x - 2 = 50 - x

⇒ 3x + x = 50 + 2

⇒ 4x = 52

⇒ x = 13°

∴(3x - 2)° = (3 × 13 - 2) = 37°

(50 - x)° = (50 -13°) = 37°

Adjacent angles of a parallelogram are supplementary

∴ x + 37 = 180°

∴ x = 180° - 37° = 143°

Hence, four angles are : 37°,143°, 37°,143°

Answer 2

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