Question

the diagram shows a triangle. what is the value of x? x =

Explanation:

Step1: Use the triangle angle - sum property

The sum of angles in a triangle is \(180^{\circ}\). So, \(11x + 61+42=180\).

Step2: Simplify the left - hand side of the equation

\(11x+(61 + 42)=180\), which gives \(11x + 103=180\).

Step3: Isolate the term with \(x\)

Subtract \(103\) from both sides: \(11x=180 - 103\). So, \(11x=77\).

Step4: Solve for \(x\)

Divide both sides by \(11\): \(x=\frac{77}{11}\).

Answer:

\(7\)