Question

$the \: adjacent \: angles \: of \: parallelogram \: are \: x \: and \: (2x + 30).find \: all \: the \: angles \: of \: parallelogram$

Answer 1

Answer:

50 and 130 are the angles

Step-by-step explanation:

Answer 2

The sum of all the angles of a parallelogram is 360°.

Given, adjacent angles = x, ( 2x +30 )

Sum of adjacent angles = 180°

x + 2x + 30 = 180

3x = 180 - 30

x = 150 /3 = 50 °

One angle = x = 50°

Second angle = ( 2x + 30 ) = 2× 50 + 30 = 130°

Opposite angles are equal.

So, other two angles will be 130 ° and 50°.

PROOF :

Sum of all 4 angles = 360°

50 + 50 + 130 + 130 = 100 + 260 = 360°.