49.3k views
5 votes
MZXYZ = 117 •Find mZXYW and mZWYZ.Y(-10x + 65)(6x + 44)ХwomZXYWmZWYZ =

MZXYZ = 117 •Find mZXYW and mZWYZ.Y(-10x + 65)(6x + 44)ХwomZXYWmZWYZ =-example-1
User Lordrhodos
by
8.1k points

1 Answer

6 votes

Answer

Angle XYW = 32°

Angle WYZ = 85°

Step-by-step explanation

We've been told that

Angle XYZ = 117°

We've also been given that

Angle XYW = (6x + 44)°

Angle WYZ = (-10x + 65)°

But, from the figure in the attached image, we can see that

Angle XYW + Angle WYZ = Angle XYZ

(6x + 44)° + (-10x + 65)° = 117°

6x - 10x + 44° + 65° = 117°

-4x + 109° = 117°

-4x = 117° - 109°

-4x = 8°

Divide both sides by -4

(-4x/-4) = (8°/-4)

x = -2°

We can then go further and solve for the required angles now

Angle XYW = (6x + 44)°

= 6(-2°) + 44°

= -12° + 44°

= 32°

Angle WYZ = (-10x + 65)°

= -10(-2°) + 65°

= 20° + 65°

= 85°

Hope this Helps!!!

User Andres Kievsky
by
8.4k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories