Answer
a) Angle 3 = 39°
b) Angle 4 = 39°
Explanation
Angle 1, Angle 2 and Angle 3 all form the angles of a triangle. And we know that the sum of angles in a triangle is 180°.
Angle 1 + Angle 2 + Angle 3 = 180° (Sum of angles in a triangle is 180°)
97° + 44° + Angle 3 = 180°
141° + Angle 3 = 180°
Angle 3 = 180° - 141°
Angle 3 = 39°
Now, using the theory of alternate angles, we can see that if line A is parallel to line B and T is a transversal between them,
Angle 4 = Angle 3 (Alternate angles are equal)
Angle 4 = Angle 3 = 39°
Hope this Helps!!!
