Find the Supplement (2pi)/5

Problem

(2*π)/5

Solution

1. Identify the definition of supplementary angles. Two angles are supplementary if their sum is π radians (or 180.

2. Set up the equation to find the supplement S by subtracting the given angle from π

S=π−(2*π)/5

3. Find a common denominator to perform the subtraction. Since the denominator of the given angle is 5 write π as (5*π)/5

S=(5*π)/5−(2*π)/5

4. Subtract the numerators while keeping the common denominator.

S=(3*π)/5

Final Answer

Supplement of (2*π)/5=(3*π)/5

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