The pie chart above illustrate the amount of private time a student spends in a week studying various subjects. Find the value of k

To find the value of k, we need to use the information given in the pie chart. The sum of the angles in a circle is 360 degrees. In this case, the pie chart represents the amount of private time a student spends in a week studying various subjects, so the sum of the angles in the chart should be 360 degrees. We can start by finding the angles of the sectors for the subjects that are mentioned in the chart: Math, Science, English, History, and Others. The angles are: Math: 90 degrees Science: 60 degrees English: 60 degrees History: 60 degrees Others: k degrees We know that the sum of these angles should be 360 degrees. Therefore, we can write the equation: 90 + 60 + 60 + 60 + k = 360 Simplifying this equation, we get: 330 + k = 360 Subtracting 330 from both sides, we get: k = 30 Therefore, the value of k is 30 degrees. To explain it simply, we can use the fact that the sum of the angles in a circle is 360 degrees to find the value of k. We can find the angles of the sectors for the mentioned subjects and use the sum of these angles to set up an equation. By solving the equation, we can find that the value of k is 30 degrees.