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How would you prove that <1 = <4?

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Final answer:

To prove that <1 = <4, use the angle addition property and show that their angle measures add up to a common angle.

Step-by-step explanation:

To prove that <1 = <4, we need to show that their angle measures are equal. Here's how we can prove it:

  1. Start with the given information: 1 + = 1; 2
  2. Based on the angle addition property, we know that two angles that add up to another angle are equal to each other.
  3. In this case, <1 and <4 are angles that add up to a common angle, so they must be equal.
  4. Therefore, we have proved that <1 = <4.
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