Question

question 3/25 directions - create an equation and solve for x for the diagram: 3 triangle sum equation = x =

Explanation:

Step1: Recall triangle - angle sum property

The sum of interior angles of a triangle is 180°. Since the triangle is isosceles (two equal - side markings), the two base angles are equal. Let the two base angles be \(x\) and the third angle be 55°. The triangle sum equation is \(x + x+55^{\circ}=180^{\circ}\), which simplifies to \(2x + 55^{\circ}=180^{\circ}\).

Step2: Isolate the variable term

Subtract 55° from both sides of the equation \(2x+55^{\circ}=180^{\circ}\). We get \(2x=180^{\circ}- 55^{\circ}\), so \(2x = 125^{\circ}\).

Step3: Solve for \(x\)

Divide both sides of the equation \(2x = 125^{\circ}\) by 2. So \(x=\frac{125^{\circ}}{2}=62.5^{\circ}\).

Answer:

Triangle sum equation = \(2x + 55=180\)
\(x = 62.5\)