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Given: a and c are vertical angles prove: a =~ cl

Given: a and c are vertical angles prove: a =~ cl-example-1
User AXE
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Answer:

See the answer below.

Explanation:

∠ a and ∠c are vertical angles Given

∠a + ∠d = 180 Definition of linear pairs or straight angles

∠d + ∠c = 180 Definition of linear pairs or straight angles

∠a + ∠d = ∠d + ∠c Substitution

∠a = ∠c Subtraction

Therefore ∠a ≅ ∠c Definition of congruent

Note:

Now you know that if you have a pair of vertical angles then the angles are congruent

User Zack Dawood
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