What is the formula to find the measure of an exterior angle?

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. For example, an eight-sided regular polygon, an octagon, has exterior angles that are 45 degrees each, because 360/8 = 45.

How do you find an exterior angle of an angle?

What is the Exterior Angle Theorem Formula? The sum of the exterior angle = the sum of two non-adjacent interior opposite angles. An exterior angle of a triangle is equal to the sum of its two opposite non-adjacent interior angles.

How do you compare the measure of the exterior angle with the measure of Aether remote interior angle?

The exterior angle theorem is Proposition 1.16 in Euclid’s Elements, which states that the measure of an exterior angle of a triangle is greater than either of the measures of the remote interior angles.

Which of the following can be said to the measure of an exterior angle of a triangle?

The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles of the triangle.

What is the formula can be used to solve the measurement of an exterior angle of any convex polygon?

In a regular polygon you can use two different formulas to find the measure of each exterior angle. One way is \begin{align*}\frac{360^\circ}{n}\end{align*} and the other is \begin{align*}180^\circ – \frac{(n-2)180^\circ}{n}\end{align*} (\begin{align*}180^\circ\end{align*} minus Equiangular Polygon Formula).

What are remote angles?

Remote interior angles are angles that don’t share a vertex or corner of a triangle with the exterior angle. The measure of the exterior angle equals the sum of the two remote interior angles.

Which of the following is always true for the measure of an exterior angle of a triangle?

Properties. An exterior angle of a triangle is equal to the sum of the opposite interior angles. For more on this see Triangle external angle theorem. If the equivalent angle is taken at each vertex, the exterior angles always add to 360° In fact, this is true for any convex polygon, not just triangles.