Final answer:
The measure of angle <2 is 60°, angle <1 is 120° as they are supplementary, and the complement of angle <2 is 30°.
Step-by-step explanation:
If <1 and <2 are supplementary angles, this means that their measures sum up to 180°. Given that m<1 = 2(m<2), we can set up the following equation: m<1 + m<2 = 180°. Substituting m<1 with 2(m<2) gives us 2(m<2) + m<2 = 180°, which simplifies to 3(m<2) = 180°. Dividing both sides by 3 yields m<2 = 60°. Consequently, m<1, being double of m<2, is 120°.
The complement of an angle is what, when added to it, equals 90°. Therefore, the complement of <2 is 90° - m<2, which is 90° - 60° = 30°.