Since angles ∠1 and ∠2 are supplementary, their measures add up to 180 degrees. Given that m∠1 = 77°, you can write the equation for m∠2 (which is represented as \( x \)) as follows:
\[ m∠1 + m∠2 = 180° \]
Substituting the value of m∠1:
\[ 77° + x = 180° \]
This is the equation you can use to solve for \( x \), the measure of angle ∠2. To find \( x \), you would then solve the equation:
\[ x = 180° - 77° \] \[ x = 103° \]
Thus, m∠2 = 103°.
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