Find the Supplement (2pi)/7

Problem

(2*π)/7

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 unknown supplement S by subtracting the given angle from π

S=π−(2*π)/7

3. Find a common denominator to perform the subtraction. Since the denominator of the given angle is 7 write π as (7*π)/7

S=(7*π)/7−(2*π)/7

4. Subtract the numerators while keeping the common denominator.

S=(7*π−2*π)/7

S=(5*π)/7

Final Answer

π−(2*π)/7=(5*π)/7

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