find the measure of the fourth angle of a quadrilateral if it's three angles are 100degree, 75degree and 105degree
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Answered by
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100+75+105+x=360
280+x=360
x=360-280
x=80
hence prove
Step-by-step explanation:
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Answered by
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Answer:
Fourth angle = 80°
Step-by-step explanation:
The sum of all angles of a quadrilateral = 360°
Let the fourth angle be x
∴ 100° + 75° + 105° + x = 360°
⇒ 280° + x = 360°
⇒ x = 360° - 280°
⇒ x = 80°
Therefore, the fourth angle measures 80° .
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