Two angles, <1 and <2, in a diagram are complementary. If mL2 = 26°, what equation can you write to solve for m_1?

1 answer

Since <1 and <2 are complementary, their measures sum up to 90 degrees.
Therefore, we can write the equation as:

m<1 + m<2 = 90

Substitute the given value of 26 degrees for m<2:

m<1 + 26 = 90

Now, to solve for m<1, we need to isolate it on one side of the equation. Subtract 26 from both sides:

m<1 = 90 - 26

m<1 = 64

Therefore, the equation to solve for m<1 is:

m<1 = 64