Thank you for the opportunity to help you with your question!

Here we have to find the measure of angle 2.

Case 1

If both the angle are complementary,then their sum=90

So, m<1+m<2=90

Substitute ,m<1=62

m<2=90-62=28 degree

Case2

If both the angle are supplementary then their sum=180

m<1+m<2=180

m<2=180-62

m<2=118 degree

As the full question is not give therefore I have provided both the possibility case.I hope it helps.If the question is different then please reply me.I will always reply your doubt.

Please let me know if you need any clarification. I'm always happy to answer your questions.