Question

97) Solve:-
1) Prove that: The measure of an extesloa angle of a
toiangle isequal to the sum of Its vemote intesino
angle!
->​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

For a given triangle, sum of the three angles =

180

0

As per the diagram,

∠

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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