The measures of the angles are:
∠1 = 30°
∠2 = 41°
∠3 = 96°
Let's find the measures:
Remember that the sum of the 3 interior angles of any triangle must be 180°, then we can write:
∠1 + 84° + 66° = 180°
∠1 = 180° - 66° - 84° = 30°
Now to find angle 3, that angle and the 84° should add to a plane angle, so:
∠3 + 84° = 180°
∠3 = 180° - 84° = 96°
Finally, for angle 2, we sum the interior angles again:
∠2 + 43° + ∠3 = 180°
∠2 + 43° +96° = 180°
∠2 = 180° -( 43° +96°)
∠2 = 41°