Question

1. select the correct set up to solve for x.

5x - 1
3x + 5
4x - 10
5x - 1 = 4x - 10
5x - 1 = 3x + 5
3x + 5 = 4x - 10
(3x + 5)+(4x - 10)=5x - 1

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180 degrees. But if we assume the triangle is isosceles (since we are setting up an equation to solve for \(x\) based on side - angle relationships), and if we assume the angles opposite the equal sides are equal. Here, we use the property that if two sides of a triangle are equal, the angles opposite them are equal.
Let's assume the triangle is isosceles and the angles opposite the sides with lengths \(3x + 5\) and \(4x-10\) are equal. So we set up the equation based on the equality of those two angles.
The correct equation to set up for solving \(x\) is \(3x + 5=4x - 10\)

Answer:

C. \(3x + 5 = 4x - 10\)