Question

the adjacent angle of a parallelogram are ( 2x+ 25 )° and ( 3x -5 )° .The value of x is

a) 28
b) 32
c) 36
d) 42​

Answer 1

✍According to the properties of a parallelogram, the sum of the adjacent angles is equal to 180°.

So applying this logic, we will find the value of x:-

⤵️⤵️

2x + 25° + 3x - 5° = 180°

=》5x + 20° = 180°

=》5x = 160°

=》x = 32°

●So the value of x is 32°

Answer 2

Solution-

In a parallelogram, the adjacent angles are supplementary.

So we can write,

• <A + <B = 180
• 2x + 25 + 3x - 5 = 180
• 5x +20 = 180
• 5x = 180 - 20
• x = 160/5
• Therefore, x = 32

Hence , the value of x is 32.

• Option (b) is the correct answer.