An illustration shows three rays extending from a common origin. The angle measures between them are labeled. (x + 4) Degrees and (3x + 2) Degrees. What are the two unknown angle measures that form the 90 Degree angle?
To find the unknown angle measures that form the 90-degree angle, we set up the equation:
(x + 4) + (3x + 2) = 90
Combine like terms:
4x + 6 = 90
Subtract 6 from both sides:
4x = 84
Divide both sides by 4:
x = 21
Now we can plug in the value of x to find the unknown angle measures:
First angle measure: x + 4 = 21 + 4 = 25 degrees
Second angle measure: 3x + 2 = 3(21) + 2 = 63 + 2 = 65 degrees
So the two unknown angle measures that form the 90-degree angle are 25 degrees and 65 degrees.