Use the relationship between supplementary angles ∠a

and ∠b
. What is m∠a if m∠b=121° ???

If ∠a and ∠b are supplementary angles, it means that the sum of their measures is equal to 180 degrees. Mathematically, this can be represented as:

m∠a + m∠b = 180

Given that m∠b = 121°, we can substitute this value into the equation:

m∠a + 121 = 180

To solve for m∠a, we can subtract 121 from both sides of the equation:

m∠a = 180 - 121

m∠a = 59°

Therefore, m∠a is equal to 59 degrees.