gaellozano420 gaellozano420
  • 23-04-2022
  • Mathematics
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Enter the measure of ∠TOM, in degrees. (Enter just the number)

Enter the measure of TOM in degrees Enter just the number class=

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Alexliu23356 Alexliu23356
  • 23-04-2022

Answer: 150

Step-by-step explanation:

We know (5x-15)+(2x)=90 degree

so we can solve x = 15

plug in 5(15) - 15 = 60

60 + 90 = 150

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xenia168
xenia168 xenia168
  • 23-04-2022

Answer:

150

Step-by-step explanation:

m∠TOG = m∠TOP + m∠POM + m∠MOG

m∠TOG = 180°

m∠TOP = 90°

m∠POM = (5x - 15)°

m∠MOG = (2x)°

90 + ( 5x - 15 ) + 2x = 180 ⇒ 5x - 15 + 2x = 90 ⇒ x = 15

m∠TOM = 90° + m∠POM

m∠TOM = 90° + (5×15 - 15)° = 150 °

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