Question

One angle of a parallelogram is 80 find tha measures of other three angles.

Answer 1

Let the other angle be x


We know that the opposite angle are equal in a parallelogram

=> angle opposite to 80° will also be 80°
and => angle opposite to x will also be x

So the angles are
80°, x, 80°, x


By angle sum property,

80° + x + 80° + x = 360°

=> 2x + 160° = 360°

=> 2x = 360 - 160

=> 2x = 200°

=> x = 200/2

=> x = 100°

So the unknown angle is 100°


Since opposite angles are equal, the all four angles are :-

80°, 100°, 80° and 100°


Hope it helps dear friend ☺️✌️

Answer 2

∵ Opposite angles in parallelogram are equal

∴ the measure os its opposite angle will be 80

∵all angles measure 360

∴the measure of other two angles = 360-2*80 /2

                                                            = 360-160/2

                                                          =200/2

                                                           =100

hence, 100, 100 and 80 are the measure of other three angles