Th 15. There is a two-digit number such that the sum of its digits is 6 while the
of the original number. Find this number.
product of the digits is 1/3 of the original number. Find this number

15

Step-by-step explanation:

"There is a two-digit number such that the sum of its digits is 6"

The digits can be

0, 6   possible numbers: 06, 60

1, 5    possible numbers: 15, 51

2, 3    possible numbers: 23, 32

3, 3     possible numbers: 33

"the product of the digits is 1/3 of the original number"

That means we need a number that is 3 times the product of the digits.

0, 6   product of the digits: 0     3 times product: 0

1, 5    product of the digits: 5     3 times product: 15

2, 3    product of the digits: 6     3 times product: 18

3, 3     product of the digits: 9     3 times product: 27

The only number that appears with both conditions is 15.

15

Straight Angle: ∠FEN

Vertical Angles: ∠CDA and ∠EDK

Acute Angles: ∠FED and ∠PKH

Step-by-step explanation:

You can look at the angles and determine whether they are acute, obtuse, or a straight line. Not much explanation can be given for identification of angles unless you have a protractor and it deems that you have to prove it.