Question

a = 55 180 - 68° 55° k° k = _

Explanation:

Step1: Recall the triangle angle - sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). So, if the angles of the triangle are \(55^{\circ}\), \(68^{\circ}\), and \(k^{\circ}\), then \(55 + 68+k=180\).

Step2: Simplify the left - hand side of the equation

First, add \(55\) and \(68\): \(55 + 68=123\). The equation becomes \(123 + k=180\).

Step3: Solve for \(k\)

Subtract \(123\) from both sides of the equation. Using the property \(a + b=c\Rightarrow b=c - a\), we have \(k=180-123\).

Step4: Calculate the value of \(k\)

\(180-123 = 57\).

Answer:

\(k = 57\)