Question

Someone solve this for me pls ​

Answer 1

Answer:-

$\pink{\bigstar}$ The measure if ∠x $\large\leadsto\boxed{\tt\purple{43^{\circ}}}$

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• To Find:-

• Measure of $\angle$ 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:-

➪ $\sf (x + 31^{\circ}) + (x + 20^{\circ}) + (x) = 180^{\circ}$

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➪ $\sf x + 31^{\circ} + x + 20^{\circ} + x = 180^{\circ}$

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➪ $\sf 3x + 51^{\circ} = 180^{\circ}$

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➪ $\sf 3x = 180^{\circ} - 51^{\circ}$

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➪ $\sf 3x = 129^{\circ}$

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➪ $\sf x = \dfrac{129}{3}$

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★ $\large{\bold\red{x = 43^{\circ}}}$

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Therefore, the measure of the ∠x is 43°.