juliiaa
juliiaa juliiaa
  • 11-10-2016
  • Mathematics
contestada

complete the two column proof. given 2=4 m<2=110 prove m<3=70

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abidemiokin
abidemiokin abidemiokin
  • 30-09-2021

The point where two lines meet is known as an angle.

Given the following angles from the diagram:

[tex]m<2=m<4\\m<2=100^0[/tex]

Required

Prove that m<3 = 70⁰

Step 2: m<2 = m<4 (vertically opposite angles)

Step 3: m<3 and m<4 are supplementary, hence:

[tex]m<3 + m<4 = 180^0 (Linear \ pair \ postulate)[/tex]

Substitute m<4 = 110⁰ into the expression:

[tex]m<3+110 = 180\\m<3 = 180 - 110\\m<3 =70^0[/tex]Proved!

Learn more here: https://brainly.com/question/11297276

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