Question

the adjacent angle of a parallelogram is(5x-213)and (3x-19)find all the angles of the parallelogram

Answer 1

Answer:

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°