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EastWind [94]
3 years ago
13

Someone solve this for me pls ​

Mathematics
1 answer:
sladkih [1.3K]3 years ago
5 0
<h2><em><u>Answer</u></em><em><u>:</u></em><em><u>-</u></em></h2>

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

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• <u>To</u><u> </u><u>Find</u><u>:</u><u>-</u>

  • Measure of \angle x

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

<h3>• <u>Solution</u><u>:</u><u>-</u></h3>

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°.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

•<u> Working:-</u>

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

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ \sf 3x + 51^{\circ} = 180^{\circ}

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ \sf 3x = 180^{\circ} - 51^{\circ}

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ \sf 3x = 129^{\circ}

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ \sf x = \dfrac{129}{3}

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

★ \large{\bold\red{x = 43^{\circ}}}

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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

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1.) A vertical angle, is an angle directly across another angle. Thus, <2 and <5 are vertical angles.

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