Question

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

Answer 1

The sum of adjacent angles of a parallelogram =180°

Here,

5x-7+4x+25=180°

9x+18=180°

9x=162°

x=18°

The angles are given by

5x-7=5*18-7

=90-7=83°

4x+25=4*18+25

=72+25

=97°

Answer 2

WE KNOW THAT THE SUM OF THE ADJACENT ANGLES OF A PARALLELOGRAM IS 180°.

SO, (5x-7)°+(4x+25)°=180°
»(5x-7+4x+25)°=180°
*YOU CAN NOW REMOVE THE DEGREES.
»9x+18=180
»9x=180-18
»9x=162
»x=162/9
»x=18

THEREFORE, MEASURE OF THE 1st ANGLE
»(5x-7)°=(5×18-7)
»(5x-7)°=(90-7)°
»(5x-7)°=83°

MEASURE OF THE 2nd ANGLE
»(4x+25)°=(4×18+25)°
»(4x+25)°=(72+25)°
»(4x+25)°=97°

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