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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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[tex]\pink{\bigstar}[/tex] Value of x is [tex]\large\leadsto\boxed{\tt\purple{4}}[/tex]
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✯ The sum of all the interior angles of triangle sum upto 180°.
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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.