ga58208131 ga58208131
  • 10-07-2021
  • Mathematics
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Find the measure of the missing angle using the exterior angle sum theorm.

Find the measure of the missing angle using the exterior angle sum theorm class=

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Corsaquix
Corsaquix Corsaquix
  • 10-07-2021

Answer:

[tex]25^{\circ}[/tex]

Step-by-step explanation:

The sum of the interior angles of a triangle is equal to 180 degrees, and each side of a straight line is equal to 180 degrees. Therefore, the exterior angle labelled [tex]150^{\circ}[/tex] must be equal to the sum of the two angles marked [tex]125^{\circ}[/tex] and [tex]?^{\circ}[/tex]:

[tex]125+x=150,\\x=150-125=\boxed{25^{\circ}}[/tex]

Thus, the missing angle is [tex]25^{\circ}[/tex].

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