Answer:
10° and 140°
Step-by-step explanation:
In a triangle,
The sum of any two interior angles is equal to the opposite exterior angle,
Let the angles of a triangle are x, y and z,
Such that,
x = 30°,
By the above statement,
x + y = exterior angle at Z,
If the exterior angle at Z = 40°,
30° + y = 40° ⇒ y = 10°,
Also, the sum of all interior angles of a triangle is equal to 180°,
⇒ x + y + z = 180°
⇒ 30 + 10 + z = 180°
⇒ 40 + z = 180°
⇒ z = 140°,
Hence, the remaining interior angles of this triangle are 10° and 140°
