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Complete the statements below. The sum of the interior angle measures of a triangle must be []. So, m∠1 +...

Complete the statements below.
The sum of the interior angle measures of a triangle must be [].
So, m∠1 + m∠2 + m∠4 = []°.
We are given that m∠1 = 76° and m∠2 = 64°.
Therefore, m∠1 + m∠2 = []°.
And so m∠4 = []°.
From the figure, we can see that m∠3 + m∠4 = []°.
Using the value we already found for m∠4, we find that m∠3 = []°.
Therefore, m∠3 Select m∠1 + m∠2.
This result is an example of the Exterior Angle Property of Triangles.
For any triangle, the measure of an exterior angle
Select

Answer

  1. The sum of the interior angle measures of a triangle must be 180.
  2. So, m∠1 + m∠2 + m∠4 = 180°.
  3. We are given that m∠1 = 76° and m∠2 = 64°.
  4. Therefore, m∠1 + m∠2 = 140°.
  5. And so m∠4 = 40°.
  6. From the figure, we can see that m∠3 + m∠4 = 180°.
  7. Using the value we already found for m∠4, we find that m∠3 = 140°.
  8. Therefore, m∠3 equals m∠1 + m∠2.
  9. This result is an example of the Exterior Angle Property of Triangles.
  10. For any triangle, the measure of an exterior angle equals the sum of the two non-adjacent interior angles.

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