angle a and b are complementary. m angle a = 2x and m angle b = 4x + 30. what is the measure of the angle supplementary to angle a?

M>a + m>b = 90 (complementary angle)

2x + 4x + 30 = 90

6x + 30 = 90

6x + 30 - 30 = 90-30

6x = 60

6x/6 = 60

x=10

The m>a = 2x

m>a = 20

Supplemenary angles must add up to 180. So, 180 - 20 = 160

So the measure of the angle supplementary to angle a is 160°