Question

find the measure of the missing angle. the measure of the missing angle is \boxed{}.

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). Let the missing angle be \(x\).

Step2: Set up the equation

We know two angles: \(18^\circ\) and \(119^\circ\). So, \(18^\circ + 119^\circ + x = 180^\circ\).

Step3: Calculate the sum of known angles

First, add \(18^\circ\) and \(119^\circ\): \(18 + 119 = 137\). So, \(137^\circ + x = 180^\circ\).

Step4: Solve for \(x\)

Subtract \(137^\circ\) from \(180^\circ\): \(x = 180 - 137 = 43\).

Answer:

\(43^\circ\)