Question

the diagram shows a triangle.
what is the value of c?
c = \\(\square\\)°

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \(85^\circ + 45^\circ + 5c = 180^\circ\).

Step2: Simplify the equation

First, calculate \(85 + 45 = 130\). The equation becomes \(130 + 5c = 180\).

Step3: Solve for \(c\)

Subtract \(130\) from both sides: \(5c = 180 - 130 = 50\). Then divide by \(5\): \(c = \frac{50}{5} = 10\).

Answer:

\(10\)