Problem 10 of 34geo-010
Lines and are parallel, and line crosses both of them. Two alternate interior angles formed by these lines measure and . What is the value of ?
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Solution walkthrough1:43
- Draw parallel lines and crossed by . The two angles are between the lines, on opposite sides of .
- When lines are parallel, alternate interior angles are equal. So .
- Subtract : . Add : . Divide by : .
- Check: and . Both angles are , so works.
- makes the angles add to . subtracts instead of adding it. adds and .