Question

The sum of four angles in a pentagon is 440°. Find the missing angle
measure.
180°

Answer 1

The measure of the missing angle x is:

• m∠x = 100°

Explanation:

Let 'x' be the missing angle of a Pentagon

Given that the sum of four angles in a pentagon is 440°.

We know that:

• The sum of internal angles in a simple pentagon is 540°.

Thus,

we get the equation such as:

sum of four angles + x = 540°

440° + x = 540° ∵ sum of four angles = 440°

subtract 440° from both sides

440° + x - 440° = 540° - 440°

x = 100°

Therefore, the measure of the missing angle x is:

• m∠x = 100°