Question

One angle of a Parallelogram is 60°. Find the other three angles.​

Answer 1

Step-by-step explanation:

if ,ABCD is a parallelogram,

A=60

then,

A+B=180. (adjacent angles of a parallelogram are supplementary)

60+B=180

B=180-60

B=120

B=D(opposite angles of parallelogram are equal)

D=120

A=c(opposite angles of parallelogram are equal)

C=60

Answer 2

Sum of all Interior angles in a parallelogram is 360.
Opposite angles in a parallelogram are equal.
Sum of any two adjacent angles in a parallelogram adds up to 180 degree.

Hence 180 - 60 = 120 degrees.

The other method is 360 - (60 + 60) = 360 - 120 = 240
Now divide 240 by 2 which give 120 degrees.

Both methods give same answer but the second one is lengthy so go with the first one .

Hope this helps.
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