The value of x in the triangle is 8
What is exterior angle theorem?
The Exterior Angle Theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of its two remote interior angles.
This theorem provides a relationship between exterior and interior angles in a triangle.
From the triangle;
46 + 5x + 7 = 12x - 3
53 + 3 = 12x - 5x
56 = 7x
divide both sides by 7
x = 56/7
x = 8
Therefore, the value of x is 8