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: Use the triangle angle - sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \(x + 42+106 = 180\).

Step2: Solve the equation for \(x\)

First, simplify the left - hand side of the equation: \(x+148 = 180\). Then, subtract \(148\) from both sides: \(x=180 - 148\).

Answer:

\(32\)