How The Fourth Interior Angle Can Be Found?

The formula for finding the unknown angles of a quadrilateral is:

Exterior angle = 180° – Interior angle. If three angles of a quadrilateral are known, then the 4th angle can be calculated using the formula: 360 – (Sum of the other 3 interior angles). The sum of interior angles of a quadrilateral is 360°, where n represents the number of sides of the given polygon.

A regular polygon has all its interior angles equal to each other, such as a square having all its interior angles equal to the right angle or 90 degrees. The interior angles of a polygon are also equal to a. To calculate the sum of the interior angles of a polygon, we can split it into triangles and multiply the number of triangles by 180°.

To work out the sum of internal angles in a polygon with more than four sides, there is a formula that works for all polygons:

The 4th unknown angle can be calculated by subtracting the sum of the given interior angles from 360. To find the fourth angle when the other three angles are known, subtract the number of degrees in the other three angles from 360o.

In a quadrilateral, the sum of the interior angles is always 36 360^circ. To calculate the fourth angle, subtract the sum of the first three angles from 360°.

In summary, the formula for finding unknown angles of a quadrilateral involves calculating the sum of the interior angles of a quadrilateral, which can be used to find unknown angles. This step-by-step guide provides a comprehensive understanding of finding angles of quadrilateral shapes and their applications in various fields.