two angles measure 45 degree + 3 a and 125 degree -2a if each angle is supplement of the other then calculate the value of a
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Answer:
Sum of supplementary angles is 180
∘
∴(30−a)
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+(125+2a)
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=180
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⇒a+155
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=180
∘
⇒a=180
∘
−155
∘
=25
Answered by
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Step-by-step explanation:
45° + 3a and 125° - 2a are supplementary angles so
45° + 3a + 125° - 2a = 180°
170° + a = 180°
a = 180 - 170
a = 10°
45° + 3×10 = 45 + 30 = 75°
125° - 2 × 10 = 125 - 20 = 115°
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