Question

Measures of adjacent angles of a parallelogram are (5x - 7)° and (4x + 25)°. Find the measures of these angles.

Answer 1

In a parallogram ,
Sum of adjacent angles or sum of two consecutive angles is equal to 180...
So, 5x-7+4x+25=180
9x+18=180
9x = 180-18
x= 162/9
Therefore, x=18°
The angles are 5(18)-7=83°
And 4(18)+25=97°

Hop it helps you.

Answer 2

Hello! ! !


Hey dear here is your answer ____________________


Given,

Angles of a parallelogram are (5x-7)° and (4x-25)


♦♦♦We know that,

The sum of adjacent angles of a parallelogram is 180°.


⚫Therefore,

(5x-7) + (4x+25) = 180°

==> 5x - 7 + 4x + 25 = 180°

==> 9x + 18 = 180°

==> 9x = 180° - 18

==> 9x = 162°

==> x = 162°/9

==> x = 18°

⚫Therefore,

Angles of parallelogram are,

(5x-7)° = 5×18 -7 = 83°

and

(4x+25)° = 4×18 + 25 = 97°

-----------------------------------------------------

⚫Therefore,

Measures of adjacent angles of a parallelogram are 83° and 97° respectively.

_____________________________

Refer attached pic...

check out...

______________________________

HOPE THIS ANSWER WILL HELP U....

@Neha.....