If two adjacent angle of a parallelogram are $( 5x-5)$ and $( 10x+35)$, then find the ratio of these angles.

Given: Two adjacent angle of a parallelogram are $( 5x-5)^o$ and $( 10x+35)^o$.

To do: To find the ratio of these angles.

Solution:

As given, two adjacent angle of a parallelogram are $( 5x-5)^o$ and $( 10x+35)^o$.

Sum of adjacent angles is always $180^o$.

$\Rightarrow 5x-5+10x+35=180$

$\Rightarrow 15x+30=180$

$\Rightarrow 15x=150$

$\Rightarrow x=\frac{150}{15}$

$\Rightarrow x=10$

Angles are: $5x-5,\ 10x+35$

$\Rightarrow 5\times10-5,\ 10\times10+35$

$\Rightarrow 45^o,\ 135^o$

Ratio$=\frac{45}{135}=\frac{1}{3}=1:3$.

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Updated on: 10-Oct-2022

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