Question

What is the value of x?



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x =

Answer 1

Question

What is the value of x?

It is an equilateral triangle, 3 sides and 3 equal angles (60°)

angle n = angle m

11y + 5 = 60

11y = 55

y = 55 : 11

y = 5

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check

11 * 5 + 5 = 60°

the answer is good

Answer 2

Required result:
`x=(190)/(21)`

Explanation:

We have been given an equilateral triangle.

Angles opposite to equal sides are equal

`7x-3=11y+5`

`\Rightarrow 7x-11y=8` (1)

And sum of angles in a triangle is 180.

`7x-3+11y+5+7x-3=180`

`\Rightarrow 14x+11y-1=180`

`\Rightarrow 14x+11y=182` (2)

On solving (1) and (2) by adding two equations we get:

`21x=190`

`x=(190)/(21)`