Question

what is the value of x?

x = \boxed{\circ}

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Explanation:

Step1: Recall the total degree of a circle

The total degree of a circle is \(360^{\circ}\).

Step2: Set up the equation

We know that \(x + 38^{\circ}+81^{\circ}+67^{\circ}+77^{\circ}=360^{\circ}\).
First, add the known angles: \(38 + 81+67 + 77=263\).
So the equation becomes \(x+263^{\circ}=360^{\circ}\).

Step3: Solve for \(x\)

Subtract \(263^{\circ}\) from both sides of the equation: \(x=360^{\circ}-263^{\circ}\).
\(x = 97^{\circ}\)

Answer:

\(97\)