Answered

IDNLearn.com: Where your questions meet expert answers and community support. Get accurate and comprehensive answers to your questions from our community of knowledgeable professionals.

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 :

MrRoyalidn

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]

Thank you for participating in our discussion. We value every contribution. Keep sharing knowledge and helping others find the answers they need. Let's create a dynamic and informative learning environment together. Thank you for choosing IDNLearn.com for your queries. We’re committed to providing accurate answers, so visit us again soon.