Question

Provide reasons for the statements.
Given: ∠1 and ∠3 are vertical angles.
Prove: ∠1≅∠3
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Answer 1

for each statement, try to think about what mathematical property makes it true

for example, in statement 2, they stated that <1 and <2 as well as <2 and <3 are pairs of supplementary angles because they're linear pairs

for statement 3, they stated that m<1 and m<2 add up to 180. by definition, supplementary angles add up to 180, so I would put "definition of supplementary angles" under the reason column.

can you try with the rest of the statements? we can help if you get stuck