Answer:
The value of x is [tex]15\°[/tex]
Step-by-step explanation:
we know that
If two angles are complementary, then its sum is equal to [tex]90\°[/tex]
In this problem we have that
[tex]m<1+m<2=90\°[/tex] ------> equation A
we have
[tex]m<1=x\°[/tex]
[tex]m<2=(3x+30)\°[/tex]
Substitute the values of m<1 and m<2 in the equation A and solve for x
[tex]x\°+(3x+30)\°=90\°[/tex]
[tex]4x=90\°-30\°[/tex]
[tex]4x=60\°[/tex]
[tex]x=60\°/4=15\°[/tex]
