Question

Two adjacent angle of a parallelogram are in the ratio 4:5 . find the measure of all the angles of the parallelogram.
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Answer 1

Step-by-step explanation:

let the two adjacent angles be 4x and 5x.

we know that the sum of adjacent angles of a parallelogram is 180 degree.

so 4x+5x=180 degree

9x=180 degree

x=180/9

=20 degree

so one angle=4x=4*20

=80 degree

it's diagonally opposite angle=80 degree

other angle=5x=5*20

=100 degree

it's diagonally opposite angle is also 100 degree...

so it's 4 angles are 80 degree,100 degree,80 degree and 100 degree

Answer 2

Answer:

Step-by-step explanation:

let "x" be the common ratio

4x + 5x = 180° (adjacent angles of parallelogram are supplementary)

9x = 180°

x = 180 ÷ 9

x = 20

therefore , the angles are 4 × 20 = 80°

                                            5 × 20 = 100°

since opposite angles of a parallelogram are equal therefore the angles are

    ${\boxed{\boxed{80° , 100° , 80° , 100°}}}$