Answer:
What is Exterior Angle Theorem?
The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two opposite(remote) interior angles of the triangle. Let us recall a few common properties about the angles of a triangle: A triangle has 3 internal angles which always sum up to 180 degrees. It has 6 exterior angles and this theorem gets applied to each of the exterior angles. Note that an exterior angle is supplementary to its adjacent interior angle as they form a linear pair of angles.
exterior angle theorem
We can verify the exterior angle theorem with the known properties of a triangle. Consider a Δ ABC.
The three angles a + b + c = 180 (angle sum property of a triangle) ----- Equation 1
c= 180 - (a+b) ----- Equation 2 (rewriting equation 1)
e = 180 - c----- Equation 3 (linear pair of angles)
Explanation:
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