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the measures of the angles of a triangle are shown in the figure below.…

Question

the measures of the angles of a triangle are shown in the figure below. solve for x.
answer attempt 1 out of 2
$x =$
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Explanation:

Step1: Recall the triangle angle - sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \(x + 49+32 = 180\).

Step2: Simplify the left - hand side of the equation

\(x+(49 + 32)=x + 81\). The equation becomes \(x + 81=180\).

Step3: Solve for \(x\)

Subtract 81 from both sides of the equation: \(x=180 - 81\).

Answer:

\(x = 99\)