Answer: m<1 is equal to 48 degrees.
Explanation:
If <1 is a complement of <2 and m<2 = 42, we can find m<1 by using the fact that the sum of complementary angles is 90 degrees.
The sum of <1 and <2 is 90 degrees because they are complementary angles.
Therefore, m<1 + m<2 = 90
Substituting the given value, we have:
m<1 + 42 = 90
To isolate m<1, we subtract 42 from both sides of the equation:
m<1 = 90 - 42
Simplifying the right side:
m<1 = 48