Question

.26.Two adjacent angles of a llgm are in the ratio 5:4.Then Two adjacent angles are *​

Answer 1

Answer:

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Answer 2

${\large{\bf{\red{\underline{Given :}}}}}$

• The adjacent angles of a parallelogram are in the ratio 5:4.

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${\large{\bf{\blue{\underline{To Find :}}}}}$

• Find the two adjacent angles.

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${\large{\bf{\orange{\underline{Solution :}}}}}$

Remember that :

Sum of two adjacent angles of parallelogram is 180°.

Next,

${\sf{\purple{Let \: the \: ratios \: be \: x:}}}$

${\sf{\purple{5x}}}$

${\sf{\purple{4x}}}$

Than,

${\bf{\green{5x + 4x = 180°}}}$

${\bf{\green{9x = 180°}}}$

${\bf{\green{X ={\cancel \frac{180}{9} }}}}$

${\blue{\mapsto{\red{\boxed{\bf{X = 20}}}}}}</p><p>$

So,

${\red{\dashrightarrow{\bf{1st \: Adjacent \: angle = 5x = 5 \times 20 = 100°}}}}$

${\red{\dashrightarrow{\bf{2nd \: Adjacent \: angle = 4x = 4 \times 20 = 80°}}}}</p><p>$

For varification :

${\blue{\tt{100° + 80° = 180°}}}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: {\red{\underbrace{\green{\mathfrak{Hence,Verified}}}}}$

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