Question

the sum of two opposite angles of parallelogram is 130 degree . find the measure of each of its angle

Answer 1

In a parallelogram sum of opposite angles are equal when opposite sides are parallel to each other and the sum of all the four angles are 360

when the sum of two opposite angles are 130 so

the sum of other two angles are x let,

so, x + x + 130 = 360

2x + 130 = 360

2x = 360 - 130

2x = 230

x = 230/2

x = 115

So measure of all the angles are 115, 115, 65, 65

Answer 2

Solution :

Let the angles be 'x'

Then ,

➨ Angle A + Angle C = 130°

➨ x + x = 130°

➨ 2x = 130°

➨ x = 130/2 = 65°

➨ x = 65°

Additional :-

➨ Angle A + Angle D = 180° ( Co - interior )

➨ 65° + Angle D = 180°

➨ Angle D = 180° - 65°

➨ Angle D = 115°

➨ Angle D = Angle B = 115°

Hence , Done!