JanaeT685167 JanaeT685167
  • 03-11-2022
  • Mathematics
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Find the measure of the indicated angle in each triangle.A=86B=133C=47D=180

Find the measure of the indicated angle in each triangleA86B133C47D180 class=

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LambertK553472 LambertK553472
  • 03-11-2022

The sum of the internal angles of a triangle is 180°. Therefore:

[tex]m\angle E+m\angle F+m\angle G=180[/tex]

Solving for m∠F:

[tex]\begin{gathered} 47+m\angle F+86=180 \\ 133+m\angle F=180 \end{gathered}[/tex]

Subtract 133 on both sides:

[tex]\begin{gathered} 133+m\angle F-133=180-133 \\ m\angle F=47 \end{gathered}[/tex]

Answer: C. 47°

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