Two angles, ∠1 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°=90°−77°
x equals 90 degrees minus 77 degrees

x°=77°
x equals 77 degrees

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

x°+77°=180°

1 answer

Since angles ∠1 and ∠2 are supplementary, they add up to 180°. Given that m∠1 = 77°, we can write the equation for m∠2 (which we are letting equal \( x \)°) as:

\[ x° + 77° = 180° \]

So the correct response is:

x° + 77° = 180°