Question

There are two complementary anglesThere are two complementary angles, ∠5
and ∠6
. If m∠5=39°
, what equation can you write to solve for m∠6
?(1 point)
Responses

m∠6=39°
x equals 39 degrees

m∠6+39°=180°
x plus 39 degrees equals 180 degrees

m∠6+39°=90°
x plus 39 degrees equals 90 degrees

m∠6=180°−39°
x equals 180 degrees minus 39 degrees, ∠5
and ∠6
. If m∠5=39°
, what equation can you write to solve for m∠6
?(1 point)
Responses

m∠6=39°
x equals 39 degrees

m∠6+39°=180°
x plus 39 degrees equals 180 degrees

m∠6+39°=90°
x plus 39 degrees equals 90 degrees

m∠6=180°−39°
x equals 180 degrees minus 39 degrees

Answer 1

Complementary angles are two angles whose measures add up to 90 degrees. Given that \( m∠5 = 39° \), you can find \( m∠6 \) using the equation for complementary angles:

\[
m∠6 + m∠5 = 90°
\]

Substituting \( m∠5 \) gives:

\[
m∠6 + 39° = 90°
\]

So, the correct equation to solve for \( m∠6 \) is:

\[
m∠6 + 39° = 90°
\]

Therefore, the correct response is:

**m∠6 + 39° = 90°**.