An illustration shows three rays extending from a common origin. The angle measures between them are labled.
(x+4) degrees and (3x+2) degrees. What are the two unknown angle measures that form the 90 degree angle?
To find the two unknown angle measures that form the 90-degree angle, we need to set up the 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
Now we can find the two unknown angle measures:
First angle: x+4 = 21+4 = 25 degrees
Second angle: 3x+2 = 3(21)+2 = 63+2 = 65 degrees
Therefore, the two unknown angle measures that form the 90-degree angle are 25 degrees and 65 degrees.