Question

$\displaystyle\huge\red{\underline{\underline{Question}}}$


Find all the angles of a parallelogram if one angle is 80°.​

Answer 1

Answer:

In a parallelogram opposite angles are equal and opposite sides are parallel. thus two angles on the same side are supplementary

therefore, in the parallelogram

the angle opposite to the 80* will be 80*

and the other two angles will be

2x + 2(80°) = 360°

2x = 360°- 160°

x = 200°/2 = 100°

The angles of parallelogram are 100°,80°,100°,80°

Answer 2

Let the other angles be x.

80+x+80+x= 360° {Opposite angles r equal}

160°+2x= 360°

2x= 360-160

2x= 200

x= 200÷2

x= 100°

Therefore the angles are 80°, 100°,80° and 100°.