Question

EThe system of equations below represents the measureof 2 angies created by the diagonal of a rectangle:x + y = 90y = 5NWhat is the measure of the greater angle?What is the measure of the smaller angle?

Answer 1

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°