108.6°
Step-by-step explanation:
The two angles are called consecutive interior angles and we know that the sum of these two angles is 180°. Therefore, we can write
[tex](23x + 1) + (36x +2) =.180[/tex]
[tex]\Rightarrow 59x + 3 = 180[/tex]
or
[tex]59x = 173 \Rightarrow x = 2.93[/tex]
This means that the angle in bold is
[tex]36(2.93) + 3 = 108.6°[/tex]
