Question

The opposite angles of a parallelogram ABCD are given as A=(3x+20°) C=(2x+70°) and also find the all angles

Answer 1

Ello There!

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Given Values

∠A = 3x + 20°

∠B = 2x + 70°

In a parallelogram opposite angles are equal.

So,

3x + 20° = 2x + 70°

3x - 2x = 70° - 20°

x = 50°

Substitute 'x' value

3x + 20°

3(50) + 20

150 + 20

170°

∠A = 170°

2x + 70°

2(50) + 70

100 + 70

170°

∠C = 170°

Finding all Angles.

∠B

∠A + ∠B = 180° (co - interior angles)

170 + ∠B = 180°

∠B = 180° - 170°

∠B = 10°

∠B = ∠D = 10° (Opp angles of a parallelogram are equal)

∠D = 10°

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∠A = 170°

∠B = 10°

∠C = 170°

∠D = 10°

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Thank You!