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

Question

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

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \(3c + 2c + 50^\circ = 180^\circ\).

Step2: Combine like terms

Combine \(3c\) and \(2c\) to get \(5c\). So, \(5c + 50^\circ = 180^\circ\).

Step3: Solve for \(c\)

Subtract \(50^\circ\) from both sides: \(5c = 180^\circ - 50^\circ = 130^\circ\). Then divide by 5: \(c = \frac{130^\circ}{5} = 26^\circ\).

Answer:

\(c = 26\)