180 are to be divide among three children in the ratio 1/3 :1/4:1/6 find the share of each child

The share of each child is 80, 60 and 40 respectively

Step-by-step explanation:

Step 1 :

Total  quantity to be divided = 180

Ratio of each child's share is ::

Sum of the ratios =   + +   =  

Step 2 :

First child's share is   ÷   × 180 =   × × 180  = 80

Second child's share is   ÷   × 180 =   × × 180  = 60

Third child's share is ÷   × 180 =   × × 180  = 40

Step 3  :

The share of each child is 80, 60 and 40 respectively

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°

is there a picture

step-by-step explanation: