Question

Someone please help me with this

Answer 1

Given :

In the figure, it is given that a triangle with having all sides equal. And we know that, sum of all angles of the triangle is 180°.

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To Find :

• The value of x

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Solution :

`\implies \sf \:(9x - 3){}^( \circ) + (9x - 3){}^( \circ) + (9x - 3){}^( \circ) = 180{}^( \circ)\\ \\ \sf \implies \:9x - 3{}^( \circ) + 9x - 3{}^( \circ) + 9x - 3{}^( \circ) = 180{}^( \circ) \: \: \: \: \: \: \: \: \: \\ \\ \implies \sf 9x + 9x + 9x - (3{}^( \circ) + 3{}^( \circ) + 3{}^( \circ)) = 180{}^( \circ) \: \: \: \: \: \\ \\ \implies \sf \: 27x - 9{}^( \circ) = 180{}^( \circ) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \sf \implies27x = 180 {}^( \circ) + 9{}^( \circ)\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \sf \implies27x = 189{}^( \circ)\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \sf \implies \: x = \frac{189{}^( \circ)}{27} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \implies \sf \: { \underline{ \boxed{ \pmb{ \mathfrak{x = 7°}}}}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:`

Therefore, the required value of x = 7°

Answer 2

Given :-

• A triangle with all sides equal .

To Find :-

• The value of x .

Solution :-

As we know that angles opposite to equal angles are equal . So ultimately all the angles inside the triangle would be equal to each other . Thus the triangle is a equilateral and each angle in a equilateral triangle is 60° . So ,

`\sf\longrightarrow`9x - 3° = 60°

`\sf\longrightarrow`9x = 60° +3°

`\sf\longrightarrow`9x = 63°

`\sf\longrightarrow`x = 63°/9

`\sf\longrightarrow`x = 7°

Hence the required answer is 7° .