Question

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

Answer 1

`x = 9`

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`