The exterior angle of a triangle is determined by the sum of its opposite interior angles. A triangle has six exterior angles, with two at each vertex being equal in measure. To find the measure of an unknown exterior angle, one must divide the sum of the interior angles value with the total number of sides.
For a regular polygon, the exterior angle is formed by extending one side of the polygon between the extension and adjacent side. To find the unknown exterior angle, one must count the number of sides (n) of the polygon and apply the exterior angle formula: 360° / n. If the polygon is irregular, one must identify known exterior angles and sum them and subtract from 360° to find the total of unknown angles.
To find the value of the unknown exterior angle, one must write an equation adding up all the measures of the exterior angles and set that equal to 360 ∘. The measurement of an exterior angle is equal to the sum of the measurements of the two non-adjacent interior angles.
In summary, the exterior angle of a triangle is determined by the sum of the opposite interior angles. To find the unknown exterior angle, one must first calculate the number of sides of the polygon and then solve for the variable by combining like terms.
📹 Exterior Angle Theorem For Triangles, Practice Problems – Geometry
This geometry video tutorial provides a basic introduction into the exterior angle theorem for triangles. It explains how to use it …
📹 Exterior Angle Theorem: How to find the measure of Angles?
Exterior Angle Theorem: How to find the measure of Angles? #exteriorangles #triangles #triangleinequality.
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