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 triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \(59^\circ + 74^\circ + x^\circ = 180^\circ\).

Step2: Calculate sum of known angles

First, add \(59\) and \(74\): \(59 + 74 = 133\). So, \(133^\circ + x^\circ = 180^\circ\).

Step3: Solve for \(x\)

Subtract \(133\) from \(180\): \(x = 180 - 133 = 47\).

Answer:

\(47\)