Provide reasons for the proof.
Given:<2 β
<4
and <2 and <3 is su...
Mathematics, 22.04.2020 03:17 24chrim
Provide reasons for the proof.
Given:<2 β
<4
and <2 and <3 is supplementary
Prove: <1 β
<3
Statement Reason
1. < 2 β
<4 1. Given
2. m<2 = m<4 2. Angle congruence postulate
3. <2 and <3 are supplementary 3. Given
4. m<2 + m<3 = 180Β° 4. Definition of supplementary angles
5. <1 and <4 are supplementary 5.
6. m<1 + m<4 = 180Β° 6. Definition of supplementary angles
7. m<1 + m<4 = m<2 + m<3 7.
8. m<1 + m<4 = m<4 + m<3 8.
9. m<1 = m<3 9.
10. <1 β
<3 10.
Answers: 3
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