in a 90 degree angle there is a line in between and one side it say (x + 4) degrees and on the other side it says (3x + 2) degrees. what are the 2 unknown angles measures that form the 90 degree angle?
In a 90-degree angle, the sum of the two unknown angles is 90 degrees. Let's call the measures of the two unknown angles A and B.
According to the given information, one angle is (x + 4) degrees, and the other angle is (3x + 2) degrees.
So, we can set up the equation: A + B = 90
Substituting the measures of the angles:
(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 substitute the value of x back into the expressions for the angles:
Angle A = x + 4 = 21 + 4 = 25 degrees
Angle B = 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.