Question

find the value of $x$ in the triangle shown below.
$x = square^{circ}$
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angles in a triangle sum to $180^{circ}$ proof

Explanation:

Step1: Recall the angle - sum property of a triangle

The sum of the interior angles of a triangle is \(180^{\circ}\). Let the three angles of the triangle be \(21^{\circ}\), \(125^{\circ}\), and \(x^{\circ}\). Then the equation is \(21 + 125+x=180\).

Step2: Simplify the left - hand side of the equation

First, add \(21\) and \(125\): \(21 + 125=146\). So the equation becomes \(146+x=180\).

Step3: Solve for \(x\)

Subtract \(146\) from both sides of the equation. Using the property \(a + b=c\Rightarrow b=c - a\), we have \(x=180-146\).
\(x = 34\)

Answer:

\(34\)