Answer:
The value of x is 9.
Step-by-step explanation:
From the given figure it is clear that the given triangle is an equilateral triangle because all sides are equal.
According to the properties of equilateral triangle, the measure of each interior angles of a triangle is 60°.
Triangle LMN is an equilateral triangle,
[tex]\angle LNM=60^{\circ}[/tex]
[tex](7x-3)^{\circ}=60^{\circ}[/tex]
[tex](7x-3)=60[/tex]
Add 3 on both sides.
[tex]7x-3+3=60+3[/tex]
[tex]7x=63[/tex]
Divide both sides by 7.
[tex]x=\frac{63}{7}[/tex]
[tex]x=9[/tex]
Therefore the value of x is 9.
