Two adjacent angles on a straight line are in the ratio 5 : 4.

Question:

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

Solution:

Let the two adjacent angles be 5x and 4x, respectively.

Then,

$5 x+4 x=180^{\circ}$

$\Rightarrow 9 x=180^{\circ}$

$\Rightarrow x=20^{\circ}$

Hence, the two angles are $5 \times 20^{\circ}=100^{\circ}$ and $4 \times 20^{\circ}=80^{\circ}$.

 

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