A circle has full round angle of 360 degrees. A circle represents all survey participants. We need to find the total number of survey participants.
total = 174 + 122 + 55 + 19 + 130
total = 500
Then determine the measure of angle represents people selected football using information above.
football = [tex] \dfrac{\text{participants selected football}}{\text{total participants}} \times 360^{0} [/tex]
football = [tex] \dfrac{122}{500} \times 360^{0} [/tex]
football = [tex] \dfrac{122 \times 360^{0} }{500}[/tex]
football = [tex]\left(\dfrac{43,920}{500}\right)^{0}[/tex]
football = 87.84⁰
to the nearest whole number
football = 88⁰
The measure of angle represents people selected football is 88⁰ (b)
