The exterior angle theorem states that the measure of each exterior angle of a triangle is equal to the sum of the opposite and non-adjacent interior angles. The two non-adjacent interior angles opposite the exterior angle are sometimes referred to as remote interior angles. The formula for remote and interior angles states that the measure of an exterior angle ∠A ∠ A equals the sum of the two remote interior angles.
The exterior angle of a triangle is equal to the sum of the two remote interior angles. Remote interior angles are those that don’t share a vertex or corner of a triangle with the exterior angle. The exterior angle’s measure equals the sum of the two remote interior angles.
Extensions of any side of a triangle form an outside or exterior angle with the triangle. Remote interior angles are those that don’t share a vertex or corner of a triangle with the exterior angle. The exterior angle’s measure equals the sum of the two remote interior angles.
The exterior angle at one vertex in any triangle is always equal to the sum of its remote interior angles. This result depends upon Euclid’s theorem, which states that the measure of an exterior angle of a triangle is equal to the sum of its remote interior angles.
📹 Exterior Angle is Sum of Remote Interior Angles
The exterior angle at each vertex of a triangle is equal to the sum of the interior angles at the other two vertices. Find the measure …
📹 Exterior Angle as Sum of Remote Interior Angle
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