Question

1. what is ( mangle c )?

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( mangle c = )

Explanation:

Step1: Recall triangle angle sum theorem

The sum of the interior angles of a triangle is \(180^\circ\). So, for \(\triangle ABC\), we have \(x + 3x + 2x = 180\).

Step2: Solve for \(x\)

Combine like terms: \(6x = 180\). Then, divide both sides by 6: \(x=\frac{180}{6}=30\).

Step3: Find \(m\angle C\)

Since \(m\angle C = 2x\), substitute \(x = 30\): \(2\times30 = 60\).

Answer:

\(60^\circ\)