Question

two adjacent angle of a parallelogram are in the ratio of 2 : 1. find the measure of each angle​

Answer 1

Answer:

120°,60°

Step-by-step explanation:

WE KNOW THAT ADJACENT ANGLE OF A PARALLELOGRAM ARE SUPPLEMENTARY (180°)

THE SUM OF THE ADJACENT ANGLE OF A PARALLELOGRAM=180°

LET THE RATIOS BE 2x and 1x

2x+1x=180°

3x=180°

x=180/3

x=60°

NOW SUBSTITUTE X VALUE

2x=2(60)

=120°

1x=1(60)

=60°

THEREFORE THE ANGLES ARE 120° AND 60°

Answer 2

Answer:

the sum of adjacent angles is 180°

let less degree angle is x so another angle is 2x

2x+x=180

3x=180

x=60

so another angle is 120