Two angles, ∠1

Question

and ∠2
, in a diagram are supplementary. If m∠1=77°
, what equation can you write to solve for m∠2
? Let m∠2=x°
(1 point)
Responses

x°=77°
x equals 77 degrees

x°+77°=90°
x plus 77 degrees equals 90 degrees

x°+77°=180°
x plus 77 degrees equals 180 degrees

x°=90°−77°

Answer 1

Since angles ∠1 and ∠2 are supplementary, their measures add up to 180 degrees. Given that \( m∠1 = 77° \), we can express this relationship as:

\[ m∠1 + m∠2 = 180° \]

If we let \( m∠2 = x° \), we can write the equation:

\[ x° + 77° = 180° \]

Thus, the correct equation to solve for \( m∠2 \) is:

\[ x° + 77° = 180° \]

The correct response is:

x° + 77° = 180°.