theofficalcaptain202 theofficalcaptain202
  • 08-08-2021
  • Mathematics
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A base angle of an isosceles triangle measures 50°. Find the number of degrees in the measure of the vertex angle.

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Аноним Аноним
  • 08-08-2021

Both vertex angles will be same as its an isosceles triangle

Let each be x

According to angle sum property

[tex]\\ \sf \longmapsto x+x+50=180[/tex]

[tex]\\ \sf \longmapsto 2x+50=180[/tex]

[tex]\\ \sf \longmapsto 2x=180-50[/tex]

[tex]\\ \sf \longmapsto 2x=130[/tex]

[tex]\\ \sf \longmapsto x=\dfrac{130}{2}[/tex]

[tex]\\ \sf \longmapsto x=60°[/tex]

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