Question

15 determine the unknown angle
triangle with angle at a: 120°, angle at b: 34°, angle at c: unknown
text box degrees

Explanation:

Step1: Recall triangle angle sum

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

Step2: Set up the equation

We know two angles: \(120^\circ\) (at \(A\)) and \(34^\circ\) (at \(B\)). So, \(120^\circ + 34^\circ + x = 180^\circ\).

Step3: Solve for \(x\)

First, calculate \(120 + 34 = 154\). Then, \(x = 180 - 154 = 26\).

Answer:

26