Question

A pentgon has angle of 104,102,115.111 what the angle of the fifth angle

Answer 1

The fifth angle is 108 degrees

Solution:

Given that a pentagon has angle of 104, 102, 115 and 111 We have to find the angle of fifth angle

A pentagon is a five sided polygon

The sum of all the interior angles of a pentagon is 540 degrees

Given that,

Angle 1 = 104

Angle 2 = 102

Angle 3 = 115

Angle 4 = 111

Angle 5 = ?

Let the angle be "x"

So to find the fifth angle, add all the angles and equate to 540 degrees

Angle 1 + Angle 2 + Angle 3 + Angle 4 + Angle 5 = 540

104 + 102 + 115 + 111 + x = 540

432 + x = 540

x = 540 - 432

x = 108

Thus the fifth angle is 108 degrees