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°
Answer:
SAS Test
Step-by-step explanation:
Answer:

Step-by-step explanation:
Given equation of line:

To find the equation of line perpendicular to the line of the given equation and passes through point (8,2).
Applying slope relationship between perpendicular lines.

where
and
are slopes of perpendicular lines.
For the given equation in the form
the slope
can be found by comparing
with standard form.
∴ 
Thus slope of line perpendicular to this line
would be given as:

∴ 
The line passes through point (8,2)
Using point slope form:

Where
and 
So,

Using distribution.


Adding 2 to both sides.


Thus the equation of line in standard form is given by:

The translation was up 5 and to the left 8