Question

Show that the measure of an exterior angle is equal to the sum of the measures of the related remote interior angle

Answer 1

Answer:

The given proof is used to show the exterior angle is equal to sum of opposite interior angles

Step-by-step explanation:

RTP: To show the exterior angle is equal to the sum of opposite interior angles

Proof:

let 4 be the exterior angle

angle3 + angle4 = 180 (linear pair)

angle4 = 180 - angle3

angle 1 + angle 2 + angle 3 = 180 (angle sum property)

angle 1 + angle 2 = 180 - angle3

180 - angle 3 = angle 1 + angle 2 = angle4

angle 1 + angle 2 = angle 4

Therefore, the exterior angle is equal to sum of two opposite interior angles