Question

The interior angles of a pentagon are in the ratio 15 : 25 : 30 : 20 : 18. Find the measures of all its angles.

Answer 1

Answer:

Hope that this may help you

Step-by-step explanation:

Answer 2

Step-by-step explanation:

GIVEN,

pentagons angles in the ratio

let 1st side be 15x

2nd side be 25x

3rd side be 30x

4th side be 20x and

5th side be 18x so,

We know that

sum of the properties of to find = (n-2)×180 so. pentagon has 5 sides then the equation will be,

(5-2)×180= 540°

then sum of the properties of angles of pentagon = 540°

15x+25x+30x+20x+18x=540

108x=54

x=540/108=5

15×5=75°

25×5=125°

30×5=150°

20×5=100°

18×5=90°