Question

The angel of quadrilater are in the ratio 2 : 8: 5 : 12 : 18 . find all the angles of quadrilateral .​

Answer 1

Answer:

24°, 96°, 60°, 144° and 216°

Step-by-step explanation:

It seems like there's some error in the question and rather than a quadrilateral, it's a pentagon.

It's a fact that the sum of all angles of a five-sided polygon(pentagon) is 540°. We will use this fact to solve our question.

[ We can also calculate the sum of all angles of a polygon by using the formula (2n - 4) * 90° ]

Given ratio of angles= 2:8:5:12:18

Let's assume the angles be 2x, 8x, 5x, 12x and 18x.

Now, we can form an equation,

2x + 8x + 5x + 12x + 18x = 540°

45x = 540°

x = 540°/45

x = 12

Now, the angle will be as follows:

2(12), 8(12), 5(12), 12(12) and 18(12)

=> 24°, 96°, 60°, 144° and 216°