Question

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

Answer 1

Step-by-step explanation:

Angle 1 = (2x + 25)°

Angle 2 = (3x - 5)°

We know that ,

the sum of the interior opposite angles in the parallel lines is 180°

ATQ

=> Angle 1 + Angle 2 = 180°

=> (2x + 25)° + (3x - 5)° = 180°

=> ( 2x + 25 + 3x -5 )° = 180°

=> 5x°+ 20° = 180°

=> 5x° = 180° - 20°

=> 5x° = 160°

=> x = 160°/5°

=> x = 32

Therefore x = 32

To check:

We know that opposite angle of ||gm are equal

and the sum of all angles is 360°

ATQ

=> 2(2x + 25)° + 2(3x - 5)° = 360°

=> 2[2(32) + 25]° + 2[3(32) - 5)] =360°

=> 2[64+25]° + 2[96-5] = 360°

=> 2[89]° + 2[91]° = 360°

=> 2[ 89 + 91 ]° = 360°

=> 2[180]° = 360°

=> 360° = 360°

Hence , verified