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dezoksy [38]
3 years ago
6

Find the measure of the missing angle using the exterior angle sum theorm.

Mathematics
1 answer:
Aleks [24]3 years ago
7 0

Answer:

25^{\circ}

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 150^{\circ} must be equal to the sum of the two angles marked 125^{\circ} and ?^{\circ}:

125+x=150,\\x=150-125=\boxed{25^{\circ}}

Thus, the missing angle is 25^{\circ}.

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