Question

The measure of one of the angles of a parallelogram is 100°.
what are the other angles

Answer 1

Let angles be 1,2,3,4

Given angle 2= 100°

Opposite angles of a parallelogram are equal.

angle 4 = angle 2

angle 4 = 100°

Let angle 1 be X°

then the opposite angle 3 is also X°.

Sum of all angles of a parallelogram = 360°

angle 1+2+3+4 = 360

X+100+X+100 = 360

2X + 200 = 360

2X = 360-200

X = 160/2

X = 80

Angle 1 = 80°

Angle 2 = 100°

Angle 3 = 80°

Angle 4 = 100°