Question

The adjacent angles of a parallelogram are in ratio of 4 is to 5 find the measure of all the angles of a parallelogram​

Answer 1

Answer:

WE KNOW THAT AGACENT ANGLES OF A PARALLELOGRAM ARE SUPPLEMENTARY MEANS ADD UPTO 180 DEGREES . SO , LET THE ANGLES OF PARALLELOGRAM BE 4X AND 5X .

Step-by-step explanation:

NOW ,

4X+5X = 180 DEGREES ( ADGCENT ANGLES IN A PARALLELOGRAM ARE SUPPLEMENTARY )

9X=180 DEGREES

X=180/9

X=20 DEGREES

GREAT ! WE GET X =20 DEGREES . BUT IT IS 4X AND 5X AND IN QUESTION , IT IS GIVEN THAT WE HAVE TO FIND ACTUAL MEASURES OF THE RATIO GIVEN . SO , LET PUT X=20 DEGREES AND MULTIPLY .

4X= 4 MULTIPLIED BY 20 = 80 DEGREES

5X= 5 MULTIPLIED BY 20 = 100 DEGREES

SO , THE ADGCENT ANGLES OF PARALLELOGRAM ARE 80 DEGREES AND 100 DEGREES

YOU CAN ALSO ADD THE VALUES OF 4X AND 5X . LETS SEE

80+100 = 180 DEGREES .

HENCE , SOLVED !!

HOPE YOU ARE SATISFIED WITH THIS ANSWER .

Answer 2

Answer:

180 degrees........................................