The exterior angle of a triangle is equal to the sum of the two opposite interior angles. This can be used to find the values of x and y in a triangle, such as x + 50° = 92° or x = 92° – 50° = 42° or y + 92° = 180°.
The exterior angle theorem states that the measure of an exterior angle (our w) of a triangle equals to the sum of the measures of the two remote interior angles (our x and y). This theorem is a shortcut to find an exterior angle, as it is equal to the sum of the opposite and non-adjacent interior angles.
To use the exterior angle theorem, identify the measures of the two interior angles opposite the exterior angle in question and add them. For example, the measure of the angle x is 70 degrees because the sum of the two interior angles is equal to the exterior angle.
In a square with four sides, the interior angles are (4–2)*180/4=90 degrees. The exterior angle’s measure is equal to the sum of the measures of the two remote interior angles. This theorem can be applied to various problems, such as finding the value of x in a given figure or solving an exterior angle problem.
Add comment