Find the Supplement (9pi)/11

Problem

(9*π)/11

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 unknown supplement S by subtracting the given angle from π

S=π−(9*π)/11

3. Find a common denominator to perform the subtraction. Since the denominator of the given angle is 11 write π as (11*π)/11

S=(11*π)/11−(9*π)/11

4. Subtract the numerators while keeping the denominator the same.

S=(11*π−9*π)/11

5. Simplify the expression to find the final value.

S=(2*π)/11

Final Answer

π−(9*π)/11=(2*π)/11

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