Answer:
The measure of the greater angle is 75°
The measure of the smaller angle is 15°
Step-by-step explanation:
To find the measures of the angle we need to graph the given equations
x + y = 90
y = x/5
First, we need to identify two points for each equation. So, for x + y = 90, we get:
If x = 0
x + y = 90
0 + y = 90
y = 90
If y = 0
x + 0 = 90
x = 90
Therefore, for x + y = 90, we will use the points (0, 90) and (90, 0).
In the same way, for y = x/5, we get:
If x = 0
y = x/5
y = 0/5
y = 0
If x = 50
y = 50/5
y = 10
So, for y = x/5, we have the points (0, 0) and (50, 10).
Then, the graph for both equations is:
Therefore, the intersection point is (75, 15). This means that the measures of the angles are 75° and 15°.
Then, the measure of the greater angle is 75° and the measure of the smaller angle is 15°