So Angle GEN and FED are vertical angles, which means that their angles are congruent. Therefore, Angle FED is 60°
Angle GEN and DEN are a linear pair, which means that they are supplementary angles (add up to 180). To find Angle DEN, we have to form the equation: 60 + DEN = 180
For this, all you have to do is subtract 60 on both sides, and your answer will be: DEN = 120°
The present age of the mother is 30 years.
<u>Step-by-step explanation</u>:
Step 1 :
At present,
- Age of Jane = x
- Age of Billy = 5x
- Age of mother = 3(5x) = 15x
Step 3 :
After 2 years,
- Age of Jane = x+2
- Age of mother = 8 times as Jane = 8(x+2)
Step 3 :
Age of mother at present + 2 years = Age of mother after 2 years
⇒ 15x + 2 = 8(x+2)
⇒ 15x + 2 = 8x + 16
⇒ 7x = 14
⇒ x = 2
Step 4 :
Substitute x=2,
Age of mother at present = 15x = 30 years.
36.00 ÷ (1 - 0.25)
36.00 ÷ 0.75
$48
Hope this helps!
The answer is that I think it is 5