Answer:-
[tex]\pink{\bigstar}[/tex] The measure if ∠x [tex]\large\leadsto\boxed{\tt\purple{43^{\circ}}}[/tex]
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• To Find:-
- Measure of [tex]\angle[/tex] x
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• Solution:-
The given angles are made by a straight line. We know that the total angle made by a straight line is 180°.
Therefore, all the angles should sum upto 180°.
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• Working:-
➪ [tex]\sf (x + 31^{\circ}) + (x + 20^{\circ}) + (x) = 180^{\circ}[/tex]
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➪ [tex]\sf x + 31^{\circ} + x + 20^{\circ} + x = 180^{\circ}[/tex]
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➪ [tex]\sf 3x + 51^{\circ} = 180^{\circ}[/tex]
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➪ [tex]\sf 3x = 180^{\circ} - 51^{\circ}[/tex]
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➪ [tex]\sf 3x = 129^{\circ}[/tex]
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➪ [tex]\sf x = \dfrac{129}{3}[/tex]
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★ [tex]\large{\bold\red{x = 43^{\circ}}}[/tex]
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Therefore, the measure of the ∠x is 43°.
