Question

If angles x and y form a linear pair such as x : y = 4 : 5
Find the value of x

Answer 1

$\mathtt\pink{Answer}$$\longrightarrow$

$\mathtt\red{Given}$$\longrightarrow$

x and y forms linear pair.

x and y are in ratio 4:5

$\mathtt\purple{To Find}$$\longrightarrow$

Value of x.

$\mathtt\orange{Solution}$$\longrightarrow$

Let x be the multiple of ratios.

$4x + 5x = 180$

$9x = 180$

$x = \frac{180}{9}$

$x = 20$

$4x = 20 \times 4 = 80$

$5x = 20 \times 5 = 100$

Hence value of x is 80.

$\mathtt\red{Formula used}$$\longrightarrow$

Linear pair=180°

$\mathtt\pink{Verification}$$\longrightarrow$

80°+100°=180°

As x and y sum is equal to 180° the solution is correct.

Hence Verified.