A ceiling fan has equally spaced blades. What is the measure of the angle formed by two consecutive blades if there are
a)

b)

(a)
To Find: The measure of the angle formed by two consecutive blades if there are 5 blades.
Given:
A ceiling are equally spaced 5 blades.
Postulate used:
Central angle postulate:
In a circle, the degree measure of a central angle is equal to the degree measure of its intercepted arc.
Congruent arcs:
In a circle, congruent arcs are arcs with equal measures.
Since, the sum of the measures of the consecutive arc that form a circle is
Calculation:
Consider, the figure given below:
Since, the 5 blades are equally spaced.
Therefore, in a circle, congruent arcs are arcs with equal measures.
And
Since, the sum of the measures of the consecutive arc that form a circle is
By using the above result we obtain
(b)
To calculate:
The measure of the angle formed by two consecutive blades if there are 6 blades.
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