Question

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

Answer 1

Answer:

$x = 9$

Step-by-step explanation:

Given

$\angle S = 45$

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

$\angle Q = 100$

Required

Find x

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

This implies that:

$\angle P = \angle S = 45$

$\angle U = \angle R = 4x - 1$

$\angle Q = \angle T = 100$

Apply angle sums property

$\angle S +\angle T +\angle U =180$

This becomes

$45 + 4x - 1 +100 = 180$

Collect like terms

$4x= 180-45-100+1$

$4x= 36$

$x = 9$