Question

find the value of k. the diagram is not to scale. 105 72 42 108

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