A person spends 20% of his income towards food, 25% for education, 15% for miscellaneous expenses, and saves 40%. The angle of sector representing expenditure towards education in pie diagram showing his income is_________

Answer

To find the angle of the sector representing expenditure towards education in a pie chart, we can follow these steps:

### Step 1: Understand the total percentage
The total percentage of the income is 100%. The person spends 25% of his income on education.

### Step 2: Calculate the angle for education
A pie chart represents a full circle, which is 360 degrees. To find the angle corresponding to the expenditure on education, we use the formula:

\[ \text{Angle} = \left( \frac{\text{Percentage}}{100} \right) \times 360 \]

### Step 3: Substitute the values
Substituting the percentage for education (25%) into the formula:

\[ \text{Angle} = \left( \frac{25}{100} \right) \times 360 \]

### Step 4: Simplify the calculation
Calculating the fraction:

\[ \text{Angle} = 0.25 \times 360 \]

Now, multiply:

\[ \text{Angle} = 90 \]

### Conclusion
The angle of the sector representing expenditure towards education in the pie diagram showing his income is **90 degrees**.

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