Question

question 11 find the value of k. the diagram is not to scale. 33° 75° k° o 108 o 42 o 105 o 72 question 12

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°.

Step2: Set up an equation

Let the three angles of the triangle be 33°, 75°, and \(k\). Then \(33 + 75+k=180\).

Step3: Simplify the left - hand side

\(33 + 75=108\), so the equation becomes \(108 + k=180\).

Step4: Solve for \(k\)

Subtract 108 from both sides: \(k=180 - 108\).
\(k = 72\).

Answer:

72