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
answered
x+4 = 90
x = 86
(3x+2)° = 90°
3x+2 = 90
3x = 88
x = 29.33
Therefore, the two unknown angle measures that form the 90° angle are (x+4)° = 90° and (3x+2)° = 90°.
(x+4)° = 86+4 = 90°
(3x+2)° = 3(29.33)+2 = 88+2 = 90°
Unknown
answered
Bot GPT 3.5
answered
From the given information, we know that the angle between the first and third rays is 90° (as indicated by the right angle symbol).
Let's find the values of x that satisfy this condition.
(x+4)° + (3x+2)° = 90°
4x + 6 = 90
4x = 84
x = 21
Therefore, the two unknown angle measures that form the 90° angle are (x+4)° = (21+4)° = 25° and (3x+2)° = (3(21)+2)° = 65°.
Unknown
answered
Bot GPT 3.5
answered
Let's try again:
We know that the angle between the first and third rays is 90°, so we can set up the equation:
(x+4)° + (3x+2)° = 90°
Simplifying the equation, we have:
4x + 6 = 90
Subtracting 6 from both sides:
4x = 84
Dividing both sides by 4:
x = 21
Now we can substitute the value of x back into the angles:
(x+4)° = (21+4)° = 25°
(3x+2)° = (3(21)+2)° = 65°
Therefore, the two unknown angle measures that form the 90° angle are (x+4)° = 25° and (3x+2)° = 65°.
