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Given: 1 is complementary to 2. 2 is complementary to 3. Prove: m1 = m3 What is the missing statement in step 3 of the proof? m1 = m2 m1 + m2 = 90° m2 = m3 m2 + m3 = 180°

Given 1 is complementary to 2 2 is complementary to 3 Prove m1 m3 What is the missing statement in step 3 of the proof m1 m2 m1 m2 90 m2 m3 m2 m3 180 class=
Given 1 is complementary to 2 2 is complementary to 3 Prove m1 m3 What is the missing statement in step 3 of the proof m1 m2 m1 m2 90 m2 m3 m2 m3 180 class=

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BlueSky06

First, it has to be noted that the term complementary refers to two angles with measures summing up to 90o.  A two-column proof is shown below.

                                    M1 = m2                                 conclusion

                                    M1 + m2 = 90o                                           Definition of complementary angles

The missing term here is:

                                    M2 + m3 = 90o              Definition of complementary angles

                                    M1 + m2 = m2 + m3             

Subtracting m2 from both sides of the equation,

                                    M1 = m3

Answer: it is (b)

Step-by-step explanation: therefore second option  

(b)mAngle1 + mAngle2 = 90°

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