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Please help!

if rstu is a rhombus, find m<uts ​

Sagot :

MrRoyalidn

Answer:

[tex]\angle UTS = 40[/tex]

Step-by-step explanation:

Given

See attachment

Required

Find [tex]\angle UTS[/tex]

From the attachment:

[tex]\angle RSU = 70[/tex]

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

[tex]\angle RSU = \angle SUR = 70[/tex]

Considering triangle RSU.

[tex]\angle RSU + \angle SUR + \angle URS = 180[/tex]

This gives:

[tex]70 + 70 + \angle URS = 180[/tex]

[tex]140 + \angle URS = 180[/tex]

[tex]\angle URS = 180-140[/tex]

[tex]\angle URS = 40[/tex]

[tex]\angle UTS = \angle URS = 40[/tex] --- Opposite angle of a rhombus

View image MrRoyal
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