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, \((2c)+(c - 3)+(c - 5)=180\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \(2c + c-3 + c - 5=180\), which simplifies to \(4c-8 = 180\).

Step3: Solve for \(c\)

Add \(8\) to both sides: \(4c=180 + 8\), so \(4c=188\). Then divide both sides by \(4\): \(c=\frac{188}{4}\).

Answer:

\(c = 47^{\circ}\)