The angle measure between the first and the third rays is 90°.
The angle measure between the first and the second rays is given as (x+4)°.
The angle measure between the second and the third rays is given as (3x+2)°.
To find the two unknown angle measures, we can set up the 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
Therefore, (x+4)° = 21+4 = 25°.
And (3x+2)° = 3(21)+2 = 63+2 = 65°.
The two unknown angle measures that form the 90° angle are (x+4)° = 25° and (3x+2)° = 65°.