Question

Solve for x. Greatly appreciate all efforts :)

Answer 1

Answer:

x = 11

Step-by-step 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

Answer:

$x=11$

Step-by-step 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°]

$=>3x+27°+3x+27°+3x+27°=180°$

$=>9x+81 =180°$

$=>9x=180°-81$

$=>9x=99$

$=>x=\frac{99}{9}$

$=>x=11$

The value of x is 11.