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°=77°
x equals 77 degrees

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

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

x°+77°=180°

1 answer

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:

x° + 77° = 180°

So, the correct response is:

x° + 77° = 180°