Geometry ! i really need ! i will give brainliest! 2. complete the proof of the exterior angle theorem. given: ∠4 is an exterior angle of δ abc. prove: m∠1 + m∠2 = m∠4

The exterior angle theorem, m∠1 + m∠2 = ∠4 is proved.

From given figure,

In triangle ABC, the sum of all three angles is equal to 180 degree.

In given diagram angle 3 and 4 form linear pair.

From equation 1 and 2

Hence proved.

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2. Definition of linear pair

3. Linear pair theorem

4. Definition of supplementary angles

5. m<1 + m<2 + m<3 = 180

6. Substitution property of equality

7. m<1 + m<2 + m<4

7. Subtraction property of equality

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