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5. Find mTOS in the figure below.

5 Find MTOS In The Figure Below class=

Sagot :

akposevictor

Applying the definition of a linear pair, m∠TOS = 52°

Recall:

Linear pair are two angles on a straight line whose sum equals 180°.

Given:

  • m∠TOU = 128°
  • m∠SOV = (4x + 8)°

m∠TOU + m∠TOS = 180° (linear pair)

  • Substitute

128° + m∠TOS =  180°

  • Subtract 128° from both sides of the equation

m∠TOS = 180° - 128°

m∠TOS = 52°

Thus, applying the definition of linear pair, m∠TOS = 52°

Learn more about linear pair on:

https://brainly.com/question/3768841

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