Question

A Pentagon has angle measures of 100°, 105°, 110°, and 115°. Find the fifth angle measurement

Answer 1

The total value of interior angles for a pentagon is 540°, so you just subtract the total of each of those values from 540°.

The fifth angle should be 110°

Answer 2

Find out the fifth angle measurement .

To prove

Let us assume that the fifth angle measurement be x .

As given

A Pentagon has angle measures of 100°, 105°, 110°, and 115°.

As the total sum of interior angle the pentagon is 540 °.

Thus

100° + 105° + 110° + 115° + x = 540 °

x =540° - 430°

x = 110°

Therefore the fifth angle measurement be 110° .