Find the Supplement (2pi)/9

Problem

(2*π)/9

Solution

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

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

S=π−(2*π)/9

3. Find a common denominator to perform the subtraction. Since the denominator of the given angle is 9 write π as (9*π)/9

S=(9*π)/9−(2*π)/9

4. Subtract the numerators while keeping the common denominator.

S=(9*π−2*π)/9

S=(7*π)/9

Final Answer

π−(2*π)/9=(7*π)/9

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