Answer:
Step-by-step explanation:
Angle sum property of triangle: Sum of all the angles of a triangle is 180
Alternate interior angles: When two parallel lines are intersected by a transversal, the pair of angles on the inner side of each of these lines but on the opposite side of the transversal are called alternate interior angles
In ΔABC,
∠1 + 90 + 38 = 180 {angle sum property of triangle}
∠1 + 128 = 180
∠1 = 180 - 128
[tex]\sf \boxed{\bf \angle 1 = 52^ \°}[/tex]
AB // CD and AC is transversal.
[tex]\sf \boxed{\bf \angle 3 = 38^\circ}[/tex] {Alternate interior angles are equal}
In ΔACD,
∠2 + ∠3 + 63 = 180 {angle sum property of triangle}
∠2 + 38 +63 = 180
∠2 + 101 =180
∠2 = 180 - 101
[tex]\sf \boxed{\bf \angle 2 = 79^ \°}[/tex]
