Question

in a parallelogram one angle is 3 times its adjacent angle find all the angles of the parallelogram

Answer 1

Let the adjacent angles be x and 3x.
Since sum of adjacent angles =180°.so,
3x+x=180
4x=180
x=180/4
x=45°.
SO,
the angles are 45°,135°,45°and 135°.
hope it helps....

Answer 2

one angle=x
adjacent angle=3x
since ,in a parallelogram opp. sides are equal
therefore,all the four angles are3x,3x,x,x.
sum of angles =360°
3x+3x+x+x=360°
8x=360°
x=360÷8
x=45°
therefore x=45 and 3x=3×45=135°