Environmental Sciences, asked by Anonymous, 1 month ago

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Answers

Answered by manojchauhanma2
1

Answer:

❍ The angles of the Quadrilateral are x°, (x – 10)°, (x + 30)° and 2x° respectively.

⠀⠀⠀\underline{\bf{\dag} \:\mathfrak{As\;we\;know\: that\: :}}

†Asweknowthat:

⠀⠀⠀⠀

The sum of all angles of the Quadrilateral is 360°. Therefore,

\begin{gathered}:\implies\sf x + (x - 10)^\circ + (x + 30)^\circ + 2x = 360^\circ \\\\\\:\implies\sf x + x + x + 2x - 10 + 30 = 360^\circ \\\\\\:\implies\sf 3x + 2x - 10 + 30= 360^\circ \\\\\\:\implies\sf 5x + 20 = 360^\circ \\\\\\:\implies\sf 5x = 360^\circ - 20 \\\\\\:\implies\sf 5x = 340^\circ \\\\\\:\implies\sf x = \cancel\dfrac{340^\circ}{5} \\\\\\:\implies{\underline{\boxed{\frak{\purple{x = 68^\circ}}}}}\;\bigstar\end{gathered}

:⟹x+(x−10)

+(x+30)

+2x=360

:⟹x+x+x+2x−10+30=360

:⟹3x+2x−10+30=360

:⟹5x+20=360

:⟹5x=360

−20

:⟹5x=340

:⟹x=

5

340

:⟹

x=68

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