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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Apologies for the mistake. Let's reassess the given information.
The angle between the first and the second rays is labeled as (x+4) degrees.
The angle between the second and the third rays is labeled as (3x+2) degrees.
To find the two unknown angle measures that form the 90° angle, we need to solve the following equation:
(x+4) + (3x+2) + 90 = 180
Simplifying the equation:
4x + 6 + 90 = 180
4x + 96 = 180
4x = 84
x = 21
Now we can substitute the value of x back into the angle measures:
(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°
The angle between the first and the third rays is marked as a right angle, which means it measures 90°.
Therefore, the unknown angle measures that form the 90° angle are:
(x+4)° = 90°
(3x+2)° = 90°