Question

If the angles of a pentagon could be x,2x, 3x,4x and 5x. Calculate size of the largest angle

Answer 1

The angles on a pentagon are 90°,15°,x,x and x. Find x

Answer 2

The sum of angles in any pentagon is 540 degrees.

Therefore,

x + 2x + 3x + 4x + 5x = 540

15x = 540

x = 36 degrees

The largest angle would be 5x = 5(36) = 180 degrees.

Answer 3

The sum of the angles in a pentagon is given by:

180(n-2) degrees, where n is the number of sides.

For a pentagon, n = 5, so the sum of the angles is:

180(5-2) = 540 degrees

We can use this information to solve for x:

90 + 15 + x + x + x = 540

Combine like terms:

105 + 3x = 540

Subtract 105 from both sides:

3x = 435

Divide by 3:

x = 145

Therefore, the three equal angles in the pentagon are 145 degrees each.