Question

find x, and then any unknown angles in the quadrilateral.

x = \square (type a whole number.)

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Explanation:

Step1: Recall quadrilateral angle sum

The sum of interior angles in a quadrilateral is \(360^\circ\). So, we add the given angles: \((x + 20)^\circ+(3x - 10)^\circ+(3x - 10)^\circ+x^\circ = 360^\circ\).

Step2: Simplify the equation

Combine like terms: \(x + 20+3x - 10+3x - 10+x=360\).
\((x + 3x + 3x + x)+(20 - 10 - 10)=360\).
\(8x+0 = 360\).

Step3: Solve for \(x\)

Divide both sides by 8: \(x=\frac{360}{8}=45\).

Answer:

\(x = 45\)