# How To Find The Missing Exterior Angle Of A Pentagon?

The sum of the exterior angles of a regular polygon will always equal 360 degrees. To find the value of a given exterior angle of a regular polygon, simply divide 360 by the number of sides or angles that the polygon has.

• A pentagon is a 5-sided shape.
• Angles in pentagons always add up to 540°.
• To find a missing angle in a pentagon, add up the 4 known angles and subtract this from 540°.
• We first add the 4 known angles: 120° + 100 + 100 + 110° = 430°.
• We then subtract this from 540°: 540 – 430 = 110 and so the missing angle is 110°.

## Year 8: Finding missing angles in a polygon

### How do you find the missing exterior angle?

0:002:26Finding an Exterior Angle in a Polygon - YouTubeYouTubeStart of suggested clipEnd of suggested clipSo in this case you can see we've got 90 okay because that's a right angle plus 101 degrees plus 60MoreSo in this case you can see we've got 90 okay because that's a right angle plus 101 degrees plus 60 degrees plus 80 degrees plus x equals 360 degrees so if we add these up we can solve this equation.

### What is exterior angle of a pentagon?

Calculate the size of the exterior and interior angle in a regular pentagon . Reveal answer. Method one. The sum of exterior angles is 360° The exterior angle is 360 ÷ 5 = 72°

### How to find the sum of exterior angles of a pentagon?

Similarly, you may ask, how do you find the sum of the exterior angles of a pentagon? The sum of the exterior angles of a regular polygon will always equal 360 degrees. To find the value of a given exterior angle of a regular polygon, simply divide 360 by the number of sides or angles that the polygon has.

### How many degrees are in the interior of the Pentagon?

Each interior angle of a pentagon is 108 degrees. The sum of three angles in a pentagon is: Princeton University, Bachelors, Politics. London Business School, Masters, Business Administration and Management. Alabama State University, Bachelors, Chemistry.

### How do you calculate the missing angle in a polygon?

You can either remember this fact or you can work it out by using the sum of interior angle formula S = (n-2) x 180. So to calculate the missing angle inside this polygon add up the four given angles and subtract this total from 540.