Question

in the triangle, suppose that ( mangle f=(5x - 5)^{circ}, mangle g=(6x - 7)^{circ} ), and ( mangle h = x^{circ} ).
(a) write an equation to find ( x ). make sure you use an \=\ sign in your answer.
equation:

Explanation:

Step1: Use the triangle - angle sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \(m\angle F + m\angle G+m\angle H=180^{\circ}\).

Step2: Substitute the given angle expressions

Substitute \(m\angle F=(5x - 5)^{\circ}\), \(m\angle G=(6x - 7)^{\circ}\), and \(m\angle H = x^{\circ}\) into the equation.
We get \((5x - 5)+(6x - 7)+x=180\).

Answer:

\((5x - 5)+(6x - 7)+x = 180\)