Question

Solve for x.
Greatly appreciate all efforts :)

Answer 1

x = 11

Explanation:

ΔLKM is an equilateral because a triangle with all 3 sides that are congruent is an equilateral triangle.

Angles in an equilateral triangle are all 60°.

Thus, ∠L = 60°.

=> 3x + 27 = 60

=> 3x = 33

=> x = 11

Answer 2

`x=11`

Explanation:

Given :-

`∠L=(3x+27)°`

ToFind:-

Value of x.

We know that:-

`∠L= ∠K= ∠M=(3x+27)°`

[All sides of triangle are equal]

According to question:-

`∠L+ ∠K+ ∠M= 180°`

[Sum of all of triangle is 180°]

`=>3x+27°+3x+27°+3x+27°=180°`

`=>9x+81 =180°`

`=>9x=180°-81`

`=>9x=99`

`=>x=(99)/(9)`

`=>x=11`

The value of x is 11.