Mathematics

Two adjacent angles on a straight line are in the ratio $5:4$. Find the measure of each one of these angles.

SOLUTION
Consider the two adjacent angles as $5x$ and $4x$

We know that the two adjacent angles form a linear pair

So it can be written as

$5x+4x={ 180 }^{ o }\Rightarrow 9x={ 180 }^{ o }$

$x={20}^{o}$

substituting the value of $x$ in two adjacent angles

$5x=5(20)={100}^{o}$

$4x=4(20)={80}^{o}$

Therefore the measure of each one these angles is ${100}^{o}$ and ${80}^{o}$

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Subjective Medium Published on 09th 09, 2020
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