Question

what is the value of c? c =

Explanation:

Step1: Use the triangle angle - sum property

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \(2c + 3c+45^{\circ}=180^{\circ}\).

Step2: Combine like terms

Combine the terms with \(c\): \((2 + 3)c+45^{\circ}=180^{\circ}\), which simplifies to \(5c+45^{\circ}=180^{\circ}\).

Step3: Isolate the term with \(c\)

Subtract \(45^{\circ}\) from both sides: \(5c=180^{\circ}- 45^{\circ}\). So, \(5c = 135^{\circ}\).

Step4: Solve for \(c\)

Divide both sides by \(5\): \(c=\frac{135^{\circ}}{5}\).

Answer:

\(27\)