Question

if a pair of supplementary angles are in the ratio 4:5 then find smaller angle.​

Answer 1

Answer:

x=4

y=5

z=? z = y-x

= 5-4

=1

:. z = 1

Answer 2

$\mathfrak{{\pmb{{\underline{Given}}:}}}$

• A pair of supplementary angles are in the ratio $\sf{\pmb{4:5}}$

$\mathfrak{{\pmb{{\underline{To~find}}:}}}$

• The smaller angle

$\mathfrak{{\pmb{{\underline{Solution}}:}}}$

• We know that complementary angles are 180°
• Let the ratios of the angles be 4x and 5x
• 4x is the smaller angle

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

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

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

$\sf{~~~~~~~ {\blue{•~{\underline{\boxed{\sf{\pmb{x=20}}}}}}}}$

$\therefore\mathfrak{{\pmb{{\underline{Required~answer}}:}}}$

• Smaller angle = 4x = 4 × 20 = $\sf{\underline{\underline{\pmb{~80 \degree~}}}}$