Question

adjacent angles of a parallelogram are (5x-213)and (3x+19). find all the angles of the parallelogram

Answer 1

5x-3x+213-19=0
2x+194=0
2x=194
x=194÷2
x=97

Answer 2

Answer:

all angles of parallelogram is 20.75 ° and 159.25°

Step-by-step explanation:

Given : Adjacent angles of a parallelogram are (5x-213)and (3x+19).

To Find: Find all the angles of the parallelogram.

Solution:

Property of parallelogram : Sum of adjacent angles of parallelogram is 180°

So, $5x-213+3x+19=180^{\circ}$

$8x-194=180$

$8x=180+194$

$8x=374$

$x=\frac{374}{8}$

$x=46.75$

So, angles are 5x-213=5(46.75)-213=20.75 and 3x+19=3(46.75)+19=159.25

Since opposite angles of parallelogram are equal

So, all angles of parallelogram is 20.75 ° and 159.25°