Answer:
[tex]\large\boxed{\bf\:\angle \: 2 = 46^{\circ}}[/tex]
Step-by-step explanation:
In the given triangle,
∠1 + ∠2 + 84° = 180° (angle sum property of triangles states that all the 3 angles in a triangle will sum up to 180°)
Here,
∠1
= 180° - 130° (a linear pair makes 180°)
= 50°
So, acoording to the angle sum property of triangles,
∠1 + ∠2 + 84° = 180°
∠2 + 50° + 84° = 180°
∠2 = 180° - (50° + 84°)
∠2 = 180° - 134°
∠2 = 46°
_________
Enjoy the rest of your day!
