Answer:
∠1 = 111°
∠2 = 69°
Step-by-step explanation:
You want the measures of angles 1 and 2, given ∠1 = 3x°, ∠2 = (x+32)°, and together they comprise a linear pair.
Supplementary
The figure shows the two angles form a linear pair, so they are supplementary:
∠1 +∠2 = 180°
3x° +(x +32)° = 180° . . . . . substitute given expressions
4x +32 = 180 . . . . . . . . . simplify
x +8 = 45 . . . . . . . . . . . divide by 4
x = 37 . . . . . . . . . . . . subtract 8
3x° = 111° . . . . . . . . . find the measure of ∠1
(x +32)° = 69° . . . . find the measure of ∠2
Angle 1 is 111°; angle 2 is 69°.
