Question

Please help!if rstu is a rhombus, find m<uts ​

Answer 1

Answer:

$\angle UTS = 40$

Step-by-step 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