Answer:
For ∠1: Because all angles inside a triangle equal 180°, set ∠2, 68, and ∠1 equal to 180, then solve for ∠1.
[tex]x + 68 + 49 = 180\\\\x + 68 = 131\\\\x = 63[/tex]
∠1 = 63°
For ∠3: Subtract 93 from 180 to get ∠3
[tex]x + 93 = 180\\\\x = 87[/tex]
∠3 = 87°
For ∠4: Because all angles inside a triangle equal 180°, set ∠3, 49, and ∠4 equal to 180, then solve for ∠4.
[tex]x + 49 + 87 = 180\\\\x + 49 = 93\\\\x = 44[/tex]
∠4 = 44°
∠2 = 49°
