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 =
![\frac{\text{participants selected football}}{\text{total participants}} * 360^(0)](https://img.qammunity.org/2019/formulas/mathematics/high-school/fkz3ob151pflq55xn8vuw29exm0775rt6o.png)
football =
![(122)/(500) * 360^(0)](https://img.qammunity.org/2019/formulas/mathematics/high-school/z3v47jnz3e72oyxxoqd5aetwg8sspsuv8i.png)
football =
![(122 * 360^(0) )/(500)](https://img.qammunity.org/2019/formulas/mathematics/high-school/s7g4p08d8wwkh58378gzdjqpq8ue3m77zt.png)
football =
![<span>\left(</span>(43,920)/(500)\right)^(0)](https://img.qammunity.org/2019/formulas/mathematics/high-school/c1hde7mj7kgduu01xtcb684gzm26mles7x.png)
football = 87.84⁰
to the nearest whole number
football = 88⁰
The measure of angle represents people selected football is 88⁰ (b)