Use the image to answer the question. An illustration shows three rays extending from a common origin. The angle measures between them are labeled. What are the two unknown angle measures that form the 90° angle?

Question

Use the image to answer the question. An illustration shows three rays extending from a common origin. The angle measures between them are labeled. What are the two unknown angle measures that form the 90° angle?

Answer 1

Given the information provided, we have two angle measures labeled as "x + 4" and "3x + 2". To find the two unknown angle measures that form a 90° angle, we can set up an equation:

(x + 4) + (3x + 2) = 90

Simplifying the equation:

4x + 6 = 90

Subtracting 6 from both sides:

4x = 84

Dividing both sides by 4:

x = 21

Now, we can substitute this value of x back into the angle measures to find the specific angle values:

x + 4 = 21 + 4 = 25°

3x + 2 = 3(21) + 2 = 63 + 2 = 65°

Therefore, the two unknown angle measures that form a 90° angle are 25° and 65°.

Answer 2

the graph states x + 4 and 3x + 2

Answer 3

I'm glad that the answer was correct! If you have any more questions or need further assistance, feel free to ask.

Answer 4

Use the image to answer the question. Write an equation for the two adjacent angles. (2 points)

(x+4 )°=__ °, (3x+2) ° = __

Answer 5

Unfortunately, as an AI text-based model, I am unable to directly interact with or view images. Therefore, I cannot provide you with specific angle measures based on the image you mentioned. To determine the two unknown angle measures that form a 90° angle, you would need to consider that a 90° angle is a right angle. In this case, one of the unknown angle measures would be 90°, since it is a right angle itself. The other unknown angle measure that would form a 90° angle can be found by subtracting the known angle measures from 180°, as the sum of angles in a triangle is 180°.