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

Given A And C Are Vertical Angles Prove A Cl class=

Sagot :

Answer:

See the answer below.

Step-by-step 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