Question

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

Explanation:

Step1: Use the triangle angle - sum property

The sum of interior angles in a triangle is \(180^{\circ}\). So, \(2c+(c + 11)+(4c-20)=180\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \((2c + c+4c)+(11 - 20)=180\), which gives \(7c-9 = 180\).

Step3: Solve for \(c\)

Add \(9\) to both sides: \(7c=180 + 9\), so \(7c=189\). Then divide both sides by \(7\): \(c=\frac{189}{7}\).

Answer:

\(27\)