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°=90°−77°
x equals 90 degrees minus 77 degrees

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

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

x°=77°

Answer 1

Since angles ∠1 and ∠2 are supplementary, their measures add up to 180°. Given that m∠1 = 77°, we can write the equation as follows:

\(x° + 77° = 180°\)

So the correct response is:

x° + 77° = 180°