Question

Two unequal angles of a parallelogram are in the ratio 4:5.Find all the angles of the parallelogram in degrees.

Answer 1

Hi friend ,

let the angles be 4x and 5x respectively.

4x+5x = 180°( co. interior angles)
9 x = 180°
x = 180/9
x = 20

angle 1 = 4×20 = 80°
angle 2 = 5×20 = 100°
angle 3 = 80°( Opp. angles of a parallelogram are equal)
angle 4 = 100°( opp. angles of a parallelogram are equal.)
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Answer 2

Sum of adjacent angles = 180
Ratio of adjacent angles = 4:5
Angle 1 = (4/9)*180
             = 80°
Angle 2 = 180- 80 Sum of opposite angles are 180
             = 100°
Angle 3 = 80°    Bcoz opposite angles are equal.
Angle 4 = 100°  Bcoz opposite angles are equal.

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