Question

Find the Value of X. Help me PLease

Answer 1

x = 27

Explanation:

The sum of the interior angles of a convex polygon with n sides is 180(n - 2) degrees. Here, n = 7, so the interior angle measures add up to

180(7 - 2) = 180(5) = 900 degrees.

Adding all the expressions together:

135 + (5x - 4) + (7x - 64) + 120 + (6x - 8) + (4x + 15) + (3x + 31) = 900

Simplifying,

25x + 225 = 900

25x = 675

x = 27

Answer 2

x = 27

Explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is number of sides

Here n = 7 , then

sum = 180° × 5 = 900°

sum the interior angles and equate to 900

3x + 31 + 135 + 5x - 4 + 7x - 64 + 120 + 6x - 8 + 4x + 15 = 900 , that is

25x + 225 = 900 ( subtract 225 from both sides )

25x = 675 ( divide both sides by 25 )

x = 27