Question

Measure of one angle of a parallelogram is 80°. Find the other three angles.

Answer 1

Let ABCD be parallelogram

A+B+C+D=360

We know that opposite angles of parallelogram are equal by alternate interior angle So,

We can write

A+A+B+B=360

2A+2B=360

A+B=180

A=80

so

80+B=180

B=100

so we get all the angles as

A=80

C=80

B=100

D=100

Answer 2

Answers:

If one of the angle is 80° then the opposite angle will be equal in parallelogram.

Sum of all the angle in parallelogram is 360°

80°+80°+x°+x°(opposite angles will be equal)=360°

160°+2x°=360°

2x°=360°-160°

2x°=200°

x°=200/2

x°=100°

Ans;

x°=x°=100°(opposite angle will be

equall in parallelogram)

80°=80°