Answer:
Angle 1 has degree measurement 48.
Angle 2 has degree measurement 42.
Angle 3 has degree measurement 90 because of the little square there in that spot of angle 3.
Step-by-step explanation:
The measures of angles 1, 2 , and 3 add up to be 180 degrees because they share a common vertex laying on the line given.
Angle 3 has measurement of 90 degrees so this means angle 1 and 2 add up to be 90 degrees.
We are given the measurement of angle 1 and 2:
angle 1+ angle 2= 90
(x) + (x-6) = 90
x + x-6 = 90
Add like terms:
2x -6 = 90
Add 6 on both sides:
2x = 90+6
Simplify right hand side:
2x = 96
Divide both sides by 2:
x = 96/2
Simplify right hand side:
x = 48
x is 48 degrees.
x-6 is 48-6=42 degrees.
Angle 1 has degree measurement 48.
Angle 2 has degree measurement 42.
