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.
If the angles of a pentagon could be x,2x, 3x,4x and 5x. Calculate size of the largest angle
3 answers
The angles on a pentagon are 90°,15°,x,x and x. Find x
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.
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.