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I need help on finding m

I Need Help On Finding M class=

Sagot :

Answer:

39°

Step-by-step explanation:

[tex]\angle RUS +\angle SUT = \angle RUT\\\\5x-4+3x+6 = 90\\\\8x+2=90\\\\8x=88\\\\x=11[/tex]

and now for SUT

[tex]\angle SUT = 3(11)+6= 33+6 = 39[/tex]

angle RUT=90° ( angle of rectangle)

angle SUT+angle RUS=angle RUT

3x+6+5x-4=90

8x+2=90

8x=88

x=11

angle SUT =39°