Mathematics

In parallelogram ABCD, if ∠A = 2x + 25° and ∠B = 3x − 5°, then value of x will be :

  1. x = 13°

  2. x = 23°

  3. x = 33°

  4. x = 32°

Rectilinear Figures

1 Like

Answer

In parallelogram ABCD, if ∠A = 2x + 25° and ∠B = 3x − 5°, then value of x will be. Quadrilaterals, R.S. Aggarwal Mathematics Solutions ICSE Class 9.

In a parallelogram, consecutive angles are supplementary and opposite angles are equal.

∠A = 2x + 25° and ∠B = 3x − 5°

∠A + ∠B = 180°

2x + 25° + 3x − 5° = 180°

5x + 20° = 180°

5x = 180° - 20°

5x = 160°

x = 32°.

Hence, option 4 is the correct option.

Answered By

3 Likes


Related Questions