Question

What is the value of x? Enter your answer in the box.

Answer 1

X = 9

Since it is a equilateral triangle, the all sides should be 60 degrees. Set one equation to 60 and you would get x = 9.

Answer 2

The value of x is 9.

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,

`\angle LNM=60^(\circ)`

`(7x-3)^(\circ)=60^(\circ)`

`(7x-3)=60`

Add 3 on both sides.

`7x-3+3=60+3`

`7x=63`

Divide both sides by 7.

`x=(63)/(7)`

`x=9`

Therefore the value of x is 9.