There are two complementary angles, ∠5 and ∠6. If m∠5=39°, what equation can you write to solve for m∠6?
A. m∠6+39°=180°
B. m∠6=39°
C. m∠6=180°−39°
D. m∠6+39°=90°
The sum of complementary angles is 90 degrees. Therefore, if m∠5 = 39°, then the equation to solve for m∠6 is:
m∠5 + m∠6 = 90°
Given that m∠5 = 39°, we can rewrite the equation as:
39° + m∠6 = 90°
Simplifying, we have:
m∠6 + 39° = 90°
So, the equation to solve for m∠6 is:
D. m∠6 + 39° = 90°