Respuesta :

Answer:

m∠RUS = 37°

Step-by-step explanation:

In a rhombus, diagonals bisect angles. In other words,

m∠RUS = m∠SUT

Substitute and solve.

10x - 23 = 3x + 19

7x = 42

x = 6

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

m∠RUS = (10x-23)

m∠RUS = 37°