Question

What is the value of x?

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x=__

Answer 1

x = 9

Explanation:

Since all sides are congruent, the triangle is equilateral and equiangular.

All angles are also congruent.

Let the measures of the angles be x.

m<L + m<M + m<N = 180°

x + x + x = 180°

3x = 180°

x = 60°

m<L = m<M = m<N = 60°

m<N = (7x - 3)° = 60°

7x - 3 = 60

7x = 63

x = 9