Question

find the unknown angle measure.
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59°
( x = )
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Explanation:

Step1: Recall the sum of angles in a triangle

The sum of the interior angles of a triangle is \(180^{\circ}\).

Step2: Set up the equation

Let the three angles of the triangle be \(59^{\circ}\), \(90^{\circ}\) (the right - angle), and \(x^{\circ}\). Then \(59 + 90+x=180\).

Step3: Simplify the left - hand side

\(59 + 90+x=(59 + 90)+x=149+x\). So, \(149+x = 180\).

Step4: Solve for \(x\)

Subtract \(149\) from both sides of the equation: \(x=180 - 149\).

Answer:

\(31\)