Proof of Theorem 2-1: Vertical Angles Theorem
Given:
Prove:
Statements | Reasons |
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1)
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1) Given |
2)
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2) that form a linear pair are supplementary. |
3)
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3) The sum of the measures of supplementary is 180. |
4)
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4) Transitive Property of Equality |
5)
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5) Subtraction Property of Equality |
6)
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6)
with the same measure are
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GRIDDED RESPONSE
What is the value of x?
How do you get started?
Look for a relationship in the diagram that allows you to write an equation with the variable.
Think | Write |
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The two labeled angles are vertical angles, so set them equal. |
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Solve for x by subtracting
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Grid the answer as 21/2 or 10.5. |
What is the value of x?