Question

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find the value of x.
enter the correct number in the box.
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x = \square

Explanation:

Step1: Recall the triangle - angle sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). So, if the angles of a triangle are \(43^{\circ}\), \(57^{\circ}\), and \(x^{\circ}\), then \(43 + 57+x=180\).

Step2: Simplify the left - hand side of the equation

First, calculate \(43 + 57\). \(43+57 = 100\). So the equation becomes \(100 + x=180\).

Step3: Solve for \(x\)

Subtract 100 from both sides of the equation. \(x=180 - 100\).

Answer:

\(80\)