Question

Two adjacent angles on a straight line are in the ratio 5:4 . Find the measure of each one of these angle .,
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Answer 1

Given,

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

Let,

• First adjacent angle = 5x

• Second adjacent angle = 4x

We know,

$\boxed{\sf{Adjacent \ angles \ on \ a \ straight \ line=180^o}}$

Which gives,

$\implies \sf{5x+4x=180}$

$\implies \sf{9x=180}$

$\implies \sf{x=\dfrac{180}{9}}$

$\implies \sf{x=20^o}$

So the adjacent angles are:

• $\sf{5x=5\times 20=100^o}$

• $\sf{4x=4\times 20=80^o}$

$\boxed{\bold{\sf{\therefore \ The \ angles \ are \ 100^o \ \& \ 80^o}}}$