Question

one angle of a parallelogram is three times the other. what are the measure of angles of this parallelogram?

Answer 1

The angles are 45 degree and 135 degree.

Please refer the above photograph for the used process.

I have used the properties of a parallelogram.
Those properties are:-

1)opposite angles of parallelogram are equal.

2) Sum of adjacent angles of a parallelogram is equal to 180 degrees.

Hope that everything is clear!

Answer 2

Consider a parallelogram ABCD.

Let angle B = x

Therefore, we know that in a parallelogram the opp. angles are equal

Now, angle B = angle D

One angle of a parallelogram is three times the other. (Given)

Now let angle A=3x

we know that in a parallelogram the opp. angles are equal

Therefore, angle A = angle C

By using angle sum property of parallelogram,

angle A + angle B + angle C + angle D= 360

3x + x + 3x +x =360

8x=360

x= 45

Therefore ,

Angle=

45, 45, 90, 90