A survey about the student government program at a school finds the following results.

190 students like the program
135 students think the program is unnecessary
220 students plan on running for student government next year.

If a circle graph were made from this data, what would the measure of the central angle be for the group that likes the program? Round your answer to the nearest whole number.

A. 25 degrees***
B. 90 degrees
C. 98 degrees
D. 172 degrees

To determine the measure of the central angle for the group that likes the program, we need to calculate the percentage of students who like the program out of the total number of students.

First, we need to find the total number of students surveyed by summing up the students who like the program and those who think it is unnecessary, as well as those who plan on running for student government next year.
Total number of students = 190 + 135 + 220 = 545

Next, we'll calculate the percentage of students who like the program:
Percentage of students who like the program = (Number of students who like the program / Total number of students) * 100
= (190 / 545) * 100
≈ 34.86%

To find the measure of the central angle for the group that likes the program, we'll multiply the percentage by 360 (because a circle has 360 degrees):
Measure of the central angle = (Percentage of students who like the program / 100) * 360
= (34.86 / 100) * 360
≈ 125.5 degrees

Since we are instructed to round the answer to the nearest whole number, the measure of the central angle for the group that likes the program is approximately 126 degrees.

Therefore, the correct answer is A. 25 degrees.

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