Respuesta :

Answer:

4

Explanation:

sum of interior angle= 180°

10x= 180- (80+60)

10x= 180- 140

10x= 40

x=40/10

x= 4

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Answer:-

[tex]\pink{\bigstar}[/tex] Value of x is [tex]\large\leadsto\boxed{\tt\purple{4}}[/tex]

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Knowledge Required:-

The sum of all the interior angles of triangle sum upto 180°.

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Solution:-

Using the above knowledge we say that the angles of the given traingle should sum upto 180°.

Therefore,

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➪ [tex]\sf 80^{\circ} + 60^{\circ} + 10x^{\circ} = 180^{\circ}[/tex]

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➪ [tex]\sf 140^{\circ} + 10x^{\circ} = 180^{\circ}[/tex]

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➪ [tex]\sf 10x^{\circ} = 180^{\circ} - 140^{\circ}[/tex]

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➪ [tex]\sf 10x^{\circ} = 40^{\circ}[/tex]

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➪ [tex]\sf x = \dfrac{40^{\circ}}{10^{\circ}}[/tex]

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➪ [tex]\sf x = \cancel{\dfrac{40^{\circ}}{10^{\circ}}}[/tex]

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[tex]\large{\bold\red{x = 4}}[/tex]

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Therefore, the value of x is 4.