Answer:
[tex]x=11[/tex]
Step-by-step explanation:
Given :-
[tex]∠L=(3x+27)°[/tex]
ToFind:-
Value of x.
We know that:-
[tex]∠L= ∠K= ∠M=(3x+27)°[/tex]
[All sides of triangle are equal]
According to question:-
[tex]∠L+ ∠K+ ∠M= 180°[/tex]
[Sum of all of triangle is 180°]
[tex]=>3x+27°+3x+27°+3x+27°=180°[/tex]
[tex]=>9x+81 =180°[/tex]
[tex]=>9x=180°-81[/tex]
[tex]=>9x=99[/tex]
[tex]=>x=\frac{99}{9}[/tex]
[tex]=>x=11[/tex]
The value of x is 11.
