Question

Please help!

if rstu is a rhombus, find m<uts ​

Answer 1

`\angle UTS = 40`

Explanation:

Given

See attachment

Required

Find
`\angle UTS`

From the attachment:

`\angle RSU = 70`

Because it is a rhombus (all equal sides), then the following relationship exists between the angles

`\angle RSU = \angle SUR = 70`

Considering triangle RSU.

`\angle RSU + \angle SUR + \angle URS = 180`

This gives:

`70 + 70 + \angle URS = 180`

`140 + \angle URS = 180`

`\angle URS = 180-140`

`\angle URS = 40`

`\angle UTS = \angle URS = 40` --- Opposite angle of a rhombus