Question

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?

Answer 1

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°