Answer:
∠EFG=(3× 11.2+17)º = 50.6°
∠LMN= (12×11.2−5)º = 129.4°
Step-by-step explanation:
We know that if two angles are supplementary two each other sum of these two angles is equal to 180°.
It is given that ∠EFG and ∠LMN are supplementary angles.
Therefore, ∠EFG +∠LMN = 180°
Given that: ∠EFG=(3x+17)º and ∠LMN=(12x−5)º
⇒ (3x+17)º + (12x−5)º =180°
⇒ (15x+12)° = 180°
⇒15x = 168°
⇒ x = 168°/15
x = 11.2°
Then, ∠EFG=(3× 11.2+17)º = 50.6°
Also, ∠LMN= (12×11.2−5)º = 129.4°
