Question

solve for x.
your answer

Explanation:

Step1: Use triangle angle sum theorem

The sum of angles in a triangle is \(180^{\circ}\). So, \(65^{\circ}+36^{\circ}+(7x + 9)^{\circ}=180^{\circ}\).

Step2: Simplify the left - hand side

\(65 + 36+7x+9=180\). Combine like terms: \(110+7x = 180\).

Step3: Solve for \(x\)

Subtract \(110\) from both sides: \(7x=180 - 110\), so \(7x = 70\). Then divide both sides by \(7\): \(x=\frac{70}{7}\).

Answer:

\(x = 10\)