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Name all angles congruent to <7​

Name all angles congruent to <7​-example-1
User Martinkabe
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1 Answer

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All six angles, ∠1, ∠2, ∠3, ∠4, ∠5, and ∠6, are congruent to <7.

Based on the image you sent, which shows two sets of parallel lines with numbers on them, all the following angles are congruent to <7:

∠1: Since the lines are parallel, we know that <1 and <7 are corresponding angles. Corresponding angles on parallel lines are always congruent, so ∠1 must also be congruent to <7.

∠2: Likewise, <2 and <7 are also corresponding angles, making ∠2 congruent to <7.

∠3: <3 and <7 are vertical angles. Vertical angles are always congruent, so ∠3 must also be congruent to <7.

∠4: Similar to <1 and <2, <4 and <7 are corresponding angles on the parallel lines, making ∠4 congruent to <7.

∠5: <5 and <7 are vertical angles, so ∠5 must also be congruent to <7.

∠6: Once again, <6 and <7 are corresponding angles on the parallel lines, making ∠6 congruent to <7.

Therefore, all six angles, ∠1, ∠2, ∠3, ∠4, ∠5, and ∠6, are congruent to <7.

User Dominik Antal
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