The point where two lines meet is known as an angle.
Given the following angles from the diagram:
\(m<2=m<4\\m<2=100^0\)
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:
\(m<3 + m<4 = 180^0 (Linear \ pair \ postulate)\)
Substitute m<4 = 110⁰ into the expression:
\(m<3+110 = 180\\m<3 = 180 - 110\\m<3 =70^0\)Proved!
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