Maharashtra BoardEnglish MediumSTD 9MathsLines And Angles3 Marks
Question
An angle is equal to its supplement. Determine its measure.
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Answer
Let the supplement of the angle be x°. According the given statement, the required angle is equal to its supplement, therefore, the required angle becomes x°. Sine both the angles are supplementary, therefore, their sum must be equal to 180°. Or we can say that: x + x = 180° 2x = 180°$\text{x}=\frac{180^\circ}{2}$
x = 90° Hence, the required angle measures 90°.
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