Question

2.Prove that the measure of a exterior angletriangle is equal to the sum of itsremote interion angles.

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Answer 1

Answer:

Let ABC is a triangle in which

BC is the base and it produces

to D

we have,

ACB+ACD =180 ( Linear pairs)......(1)

Now ,in triangle ABC

= ABC+ACB+BAC=180 (sum of all angles property).....(2)

From equation 1 and 2

we have,

ACB+ACD=ABC+ACB+BAC

On both sides ACB is common

so it cancelled out and

remaining will

ACD=ABC+BAC

Hence proved

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Answer 2

Answer:

Step-by-step explanation:

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. Remember that the two non-adjacent interior angles, which are opposite the exterior angle are sometimes referred to as remote interior angles.