Question

The angle of a parallelogram are in the ratio of 1:2:3:4. If the sum of the angles of a parallelogram is 360°, Find the measure of each angel.​

Answer 1

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Answer 2

Step-by-step explanation:

Given :

Ratio if the angles of a parallelogram = 1 : 2 : 3 : 4

Sum of the angles of a parallelogram = 360°

To find :

Measure of each of the angles.

Let x be the constant ratio.

Then, the ratio would be = 1x : 2x : 3x : 4x

So, 1x + 2x + 3x + 4x = 360

10x = 360

x = 360/10

x = 36.

Therefore,

Angle 1 = 1x = 1 × x = 1 × 36 = 36°

Angle 2 = 2x = 2 × x = 2 × 36 = 72°

Angle 3 = 3x = 3 × x = 3 × 36 = 108°

Angle 4 = 4x = 4 × x = 4 × 36 = 144°

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