Question

One angle of a parallelogram measures 160°. What are the measures of the other three angles in the parallelogram?

Answer 1

let the parallelogram identify as ABCD
In parallelogram ABCD
AB = CD
BC = AD

let Angle A be 160°
Angle A + angle B = 180°( adjacent angles are supplementary)

( substitute value)

160° + angle B = 180°
angle B = 180° - 160°
angle B = 20°

angle B = angle D
angle D = 20°( opposite and are congruent)

angle D + angle C = 180° ( adjecent angles are supplementary)

( substitute value)
20° + angle C = 180°

angle C = 180°- 20°
angle C = 160°

Answer 2

Answer:

Step-by-step explanation: