1 Answer

Sujisha Os · Answer 1 · 2022-07-28T22:02:55+0000

Answer:

$\angle UTS = 40$

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

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