Math, asked by kolekarvaishali306, 7 months ago

Prove that-The measure of an exterior angle of a triangle is

equal to sum of its remote interior angles. 2 ​

Answers

Answered by sujeevana2007
4

Answer:

For a given triangle, sum of the three angles =

180

0

1

+

2

+

3

=

180

0

AD is a straight line and CB stands on it.

Therefore, angle 2 and angle 4 are supplementary.

I.e.

2

+

4

=

180

0

Hence

1

+

2

+

3

=

2

+

4

1

+

3

=

4

In other words, exterior angle is equal to sum of the two interior opposite (remote) angles.

Similarly, we can prove the other 5 exterior angles

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