Question

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

Answer 1

Answer:

(5x-7)=83°

(4x+25)=97°

Step-by-step explanation:

We know the opposite angle of a parallelogram is 360°.

Therefore,

2(5x-7)+2(4x+25) =360°

or 2*5x+2*(-7)+2*4x+2*25=360°

or 10x + (-14) + 8x + 50= 360°

or (10x +8x) +(-14+50)= 360°

or 18x + 36 =360°

or 18x=360-36 (transferring 36 to RHS)

or x= 324/18

or x= 18.

Therefore,

5*18-7 = 83°

4*18 +25 = 97°.