Find the Supplement (5pi)/12

Problem

(5*π)/12

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−(5*π)/12

3. Find a common denominator to perform the subtraction. Since the given angle has a denominator of 12 write π as (12*π)/12

S=(12*π)/12−(5*π)/12

4. Subtract the numerators while keeping the common denominator.

S=(12*π−5*π)/12

S=(7*π)/12

Final Answer

π−(5*π)/12=(7*π)/12

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