Question

find the value of x in the triangle shown below.
x =
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angles in a triangle sum to 180° proof

Explanation:

Step1: Recall the angle - sum property of a triangle

The sum of the interior angles of a triangle is \(180^{\circ}\). So, for the given triangle with angles \(34^{\circ}\), \(50^{\circ}\), and \(x\), we have the equation \(34 + 50+x=180\).

Step2: Simplify the left - hand side of the equation

First, add \(34\) and \(50\). \(34 + 50=84\). So the equation becomes \(84+x=180\).

Step3: Solve for \(x\)

Subtract \(84\) from both sides of the equation. \(x=180 - 84\).

Answer:

\(96\)