PLEASE HELP! What would the answer be ?

m∠URS = 106°

Step-by-step explanation:

In a rhombus, diagonals bisect angles. So,  

m∠RUS = m∠SUT  

Substitute and solve  

10x - 23 = 3x + 19

Subtract 3x from both sides and add 23 to both sides.  

7x = 42

x = 6

Substitute x = 6 into the equation given for m∠RUT

m∠RUT = 10x - 23 + 3x + 19

m∠ RUT = 60 - 23 + 18 + 19

m∠RUT = 74°

Because angles RUT and URS are alternate interior angles,

m∠RUT + m∠URS = 180°

Substitute and solve.

74 + m∠URS = 180°

m∠URS = 106°

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step-by-step explanation: