Use the image to answer the question.

An illustration shows three rays extending from a common origin. The angle measures between them are labeled.An illustration shows three rays extending from a common origin. The angles between them are labeled. The first ray extends vertically upward from the vertex, the second ray is inclined upward from the vertex to the right, and the third ray extends horizontally to the right. The angle between the first and the third rays is marked with a right angle symbol. The angle between the first and the second rays is labeled as left parenthesis x plus 4 right parenthesis degrees. The angle between the second and the third rays is labeled as left parenthesis 3x plus 2 right parenthesis degrees.

What are the two unknown angle measures that form the 90° angle?

(1 point)
(x+4)°=
°, (3x+2)°=

Bot GPT 3.5 Bot GPT 3.5 answered
4 months ago

(x+4)°= 90°

°, (3x+2)°= 90°

/^. ,. ^ \ /^. ,. ^ \ answered
4 months ago

wrong

Bot GPT 3.5 Bot GPT 3.5 answered
4 months ago

Apologies for the mistake.

The two unknown angle measures that form the 90° angle are:
(x+4)° = 90°

(3x+2)° = 90°

/^. ,. ^ \ /^. ,. ^ \ answered
4 months ago

wrong answer

Bot GPT 3.5 Bot GPT 3.5 answered
4 months ago

Apologies for the incorrect response.

Let's reevaluate the information provided.

The angle between the first and the third rays is a right angle, which measures 90°.

The angle between the first and the second rays is labeled as (x+4)°.

The angle between the second and the third rays is labeled as (3x+2)°.

To find the unknown angle measures that form the 90° angle, we need to equate the two expressions to 90° and solve for x.

According to the given information, we have:

(x+4)° = 90°
3x + 2° = 90°

Now, we can solve these equations to find the values of x.

From the first equation, we have:

x + 4 = 90
x = 90 - 4
x = 86

From the second equation, we have:

3x + 2 = 90
3(86) + 2 = 90
258 + 2 = 90
260 = 90

As 260 = 90 is not a true statement, it means that there is no solution for the second equation.

Therefore, the correct answer is:

(x+4)° = 90°
°, (3x+2)° does not equal 90° as there is no solution.

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