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I need help with the statements and reasons pls help I have to idea what I’m doing

I need help with the statements and reasons pls help I have to idea what I’m doing-example-1

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Explanation:

complementary angles mean together they have 90°.

2 angles are congruent, when they have the same size.

so, we can actually translate the given situation into

A + C = 90°

B + D = 90°

A = B

therefore, we can rewrite the first 2 equations as

A + C = 90°

A + D = 90°

C = 90 - A

D = 90 - A

therefore, C = D, and therefore C and D are congruent.

User Yves
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