Question

If the adjacent angles of a parallelogram
are in the ratio 4:5, find all the angles of
the parallelogram.​

Answer 1

Answer:

The measure of two adjacent angles of a parallelogram are in the ratio 4 : 5. Find the measure of each angle of the parallelogram.

Answer 2

Answer:

80º:100º

Step-by-step explanation:

We know that,

Sum of the angles of a parallelogram = 360° (Angle sum property)

And we also know that opposite angles of a parallelogram are equal,

Therefore,

2(4x + 5x) =360°

(2×4x) + (2×5x) = 360º

8x + 10x = 360º

18x = 360º

x = 360° ÷ 18

x = 20

Therefore,

4x = 4 × x

    = 4 × 20

    = 80º

And,

5x = 5 × x

    = 5 × 20

    = 100º