Question

Find the measure of each angle. ∠EFG and ∠LMN are supplementary angles, m∠EFG=(3x+17)º, and m∠LMN=(12x−5)º.

Answer 1

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°