Stuart,Sam,Sue,and Sally have equal-sized pieces of pie.When the 4 pieces are put together they form a 100 degree angle.What is the angle of each piece?

Respuesta :

Answer:

[tex]\theta = 25^{\textdegree}[/tex]

Explanation:

A pie has a circular form and each piece represents a circular arc. The angle of each piece is obtained by the division of the total angle by the number of pieces. Then:

[tex]\theta = \frac{100^{\textdegree}}{4}[/tex]

[tex]\theta = 25^{\textdegree}[/tex]

Each piece is 25 degrees