Find the angle x of 112 and 90

1 point)
Responses

68°
68 degrees

22°
22 degrees

158°
158 degrees

90°

90 degrees

To find the angle x between 112 and 90, use the formula for finding the angle between two lines. This formula states that the angle between two lines is equal to the difference between the slopes of the lines, divided by 1 plus the product of the slopes.

Let's first find the slopes of the lines represented by the given angles:

The line with angle 112° has a slope of tan(112°).
The line with angle 90° has a slope of tan(90°).

Using a calculator, we find that tan(112°) ≈ 0.2387 and tan(90°) is undefined.

Since one of the slopes is undefined, we can conclude that the angle x between 112 and 90 is 90°.

To find the angle between 112 and 90 degrees, you need to subtract the smaller angle from the larger angle. In this case, 112 - 90 = 22. Therefore, the angle x between 112 and 90 degrees is 22 degrees.