BatuM737409 BatuM737409
  • 03-11-2022
  • Mathematics
contestada

if m<10=77, m<7=47 and m<16=139, find the measure of the missing angle m<15=?

if mlt1077 mlt747 and mlt16139 find the measure of the missing angle mlt15 class=

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EshinR545421 EshinR545421
  • 03-11-2022

Step 1: Quoting the theorem of a straight line

The theorem of a straight line says Total angles on a straight line is equal to 180°.

Step 2:

m<16 and m<15 are angles on a straight line from the diagram given,

[tex]\begin{gathered} \text{where} \\ m<16=139^0 \\ m<15=\text{?} \\ \text{therefore,} \\ m<16+m<15=180^0 \\ 139^0+m<15=180^0 \\ \text{Collecting like terms} \\ m<15=180^0-139^0 \\ m<15=41^0 \end{gathered}[/tex]

Hence the value of m<15= 41°.

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