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ratelena [41]
3 years ago
11

Can I get some help with proofs? Picture is attached

Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
8 0

Give a reason for each step of the proof. 

Given: <1 and <2 are complimentary 

<1 is congruent to <3, 

<2 is congruent to <4 

Prove: <3 and <4 are complimentary 

Statements: Reasons: 

1. <1 and <2 are complimentary 1.Given 

2. m<1 + m<2=90* 2.<u>DEFINITION OF COMPLEMENTARY ANGLES</u>

3. <1 is congruent to <3, <2 is congruent to <4 3.__GIVEN______ 

4. m<1=m<3, m<2=m<4 4.<u>DEFINITION OF CONGRUENT ANGLES_</u>

5. m<3 + m<2=90* 5. <u>SUBSTITUTION PROPERTY (m<1 is replaced by m<3.) </u>

6. m<3 +m<4=90* 6. <u>DEFINITION OF COMPLEMENTARY ANGLES </u>

7. <3 and <4 are complimentary 7.<u> DEFINITION OF COMPLEMENTARY ANGLES</u>

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