Question

In a parallelogram ABCD, if ∠A = (2x + 25)° and ∠B = (3x - 5)°, the value of x is:

Answer 1

Answer:

32°

Step-by-step explanation:

Given :

A = (2x + 25)°

B = (3x - 5)°

Property :

Any two adjacent angles of a parallelogram add up to 180°.

Reason :

In a parallelogram, A and B are supplementary angles, since they lie on the same side of the transversal. (Considering AB as the transversal)

Procedure :

Hence, A + B = 180°

=> 2x° + 25° + 3x° - 5° = 180°

=> 5x° + 20° = 180°

=> 5x° = 160°

Hence x = 32°.

Thanks !