2 adjacent angles of a parallelogram are in ratio 3:4 find all angles of parallelogram
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Step-by-step explanation:
Since the adjacent angles in a parallelogram are supplementary.
3x+2x=180\degree3x+2x=180°
\Rightarrow5x=180\degree⇒5x=180°
\Rightarrow x=\frac{180\degree}{5}=36\degree⇒x=
5
180°
=36°
\therefore One\ angle\ =\ 3x\ =\ 3\times36\degree=108\degree∴One angle = 3x = 3×36°=108°
And another angle = 2x=2\times36\degree=72\degree2x=2×36°=72°
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