Answered

Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Experience the convenience of getting accurate answers to your questions from a dedicated community of professionals. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

Need help with this there’s a picture so you can see!

Need Help With This Theres A Picture So You Can See class=

Sagot :

MrRoyal

Answer:

[tex]x = 9[/tex]

Step-by-step explanation:

Given

[tex]\angle S = 45[/tex]

[tex]\angle U = 4x - 1[/tex] --- (not clear but that is what I'm able to read)

[tex]\angle Q = 100[/tex]

Required

Find x

From the attachment, the corresponding angles of both triangles are equal:

This implies that:

[tex]\angle P = \angle S = 45[/tex]

[tex]\angle U = \angle R = 4x - 1[/tex]

[tex]\angle Q = \angle T = 100[/tex]

Apply angle sums property

[tex]\angle S +\angle T +\angle U =180[/tex]

This becomes

[tex]45 + 4x - 1 +100 = 180[/tex]

Collect like terms

[tex]4x= 180-45-100+1[/tex]

[tex]4x= 36[/tex]

[tex]x = 9[/tex]

We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.