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)°=
°
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The two unknown angle measures that form the 90° angle are:
(x+4)°= 90°
(3x+2)°= 90°
no
Apologies for the mistake. Let's solve it again:
From the image, we can see that the angle between the first and third rays is a right angle, which means it measures 90°.
Thus, the correct answer is:
(x+4)°= 90°
(3x+2)°= 90°
noooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo
Apologies for the confusion. Let's solve it again correctly.
From the given information, we know that the angle between the first and third rays is labeled as a right angle, which means it measures 90°.
We are given that:
Angle between the first and second rays = (x+4) degrees.
Angle between the second and third rays = (3x+2) degrees.
To find the unknown angle measures that form the 90° angle, we need to set up an equation:
(x+4) + (3x+2) = 90.
Simplifying the equation, we get:
4x + 6 = 90.
Subtracting 6 from both sides:
4x = 84.
Dividing both sides by 4:
x = 21.
Therefore, the unknown angle measures are:
(x+4)° = (21+4)° = 25°.
(3x+2)° = (3*21+2)° = 65°.
So, the two unknown angle measures that form the 90° angle are:
(x+4)° = 25°.
(3x+2)° = 65°.