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rdiussss

It 's an isosceles triangle if you look carefully. 2 Sides of the triangle are equal which is denoted by those marks. The angles opposite to the equal sides are always equal, so: [tex]m\angle FST = 64^\circ[/tex]

By angle sum property, [tex]m\angle TFS = 180 - 2 * 64 = 180 - 128 = 52^\circ[/tex]

52 degrees is the answer: Option D :D

hnori22003

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[tex]

FT = FS \: \: → \: \: angle \: \: T = angle \: \: S \\ [/tex]

Thus ;

[tex]angle \: \: S = 64°[/tex]

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Sum of the interior angles of any triangle is 180° .

Thus ;

[tex]T + F + S = 180°[/tex]

[tex]64° + F + 64° = 180°[/tex]

[tex]F + 128° = 180°[/tex]

Subtract sides 128°

[tex]F + 128° - 128° = 180° - 128° \\ [/tex]

[tex]F = 52°[/tex]

So :

[tex]TFS = F = 52°[/tex]

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The correct answer is Option four .

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