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Linear Equations in One Variable — MATHS STD 7 — Question

Gujarat BoardEnglish MediumSTD 7MATHSLinear Equations in One Variable2 Marks
Question
Two supplementary angles differ by $44^\circ .$ Find the angles.
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Answer

Sum of two supplementary angles $= 180^\circ $
Let first angle $= x$
Then second angle $= 180^\circ - x$
$x - (180^\circ - x) = 44^\circ $
$\Rightarrow x - 180^\circ + x = 44^\circ $
$\Rightarrow 2x = 44^\circ + 180^\circ = 224^\circ $
$\Rightarrow 2x = 224^\circ $
$\Rightarrow x = 112^\circ $
First angle $= 112^\circ $
And second angle $= 180^\circ - 112^\circ = 68^\circ $
Hence angles are $68^\circ , 112^\circ $

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