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

m∠6=180°−39°
m∠6+39°=180°
m∠6=39°
m∠6+39°=90°

1 answer

Complementary angles are two angles whose measures add up to \(90^\circ\). Since \(m∠5 = 39^\circ\), you can find \(m∠6\) using the equation:

\[ m∠5 + m∠6 = 90^\circ \]

Substituting the value of \(m∠5\):

\[ 39^\circ + m∠6 = 90^\circ \]

To solve for \(m∠6\), you can rearrange the equation:

\[ m∠6 = 90^\circ - 39^\circ \]

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

\[ m∠6 + 39^\circ = 90^\circ \]

Answer: \( m∠6 + 39° = 90° \)