Question

If a pair of supplementary angles are in the ratio 4:5, then find the measure of smaller angle???

Answer 1

Answer:

80° and 100°

Step-by-step explanation:

let's take the angles= 4x and 5x

supplementary =180°

4x+5x=180

9x=180

X=20°

Therefore,

4x=4(20)=80°

5x=5(20)=100°

The Angles Are 80° and 100°

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

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

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

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

$\sf{~~~~~~~ {\blue{•~{\underline{\boxed{\sf{\pmb{x=20}}}}}}}} </p><p>$

$\sf{therefore,}$

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

• Smaller angle = 4x = 4 × 20 =

$\sf{\underline{\underline{\pmb{~80 \degree~}}}}$