Answered

At Westonci.ca, we connect you with experts who provide detailed answers to your most pressing questions. Start exploring now! Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

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

Sagot :

Manetho

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°

Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.