In △ABC point D is on side BC such that AD = BD and AB = DC = AC. Find all the angles of △ABC.

Step-by-step explanation:

In , sides AB = AC.

We know the property that angles opposite to equal sides in a triangle are equal.

Hence,  

Let this angle be x.

So,

Similarly, in

Hence,

and are same.

By equation (1):

Similarly, in :

Let this angle be y.

We know that sum of all three angles in a triangle is equal to .

In , sum of all three angles:

In , sum of all three angles:

Using elimination method to solve equation (4) and (5):

Multiplying equation (5) by 2 and subtracting (4) from it:

Putting value of x in (4):

So, angles of are:

x, (x+y) and y

total amount of money that he should pay if he has not used his duty free exemption is $98

step-by-step explanation:

given a united states citizen returning to the states declares the following items at the customs office: 3 shirts at $8.50 each 2 dresses at $27.50 each 1 pair of gold cuff links at $17.50 per pair. we have to find how much he pay

cost of 3 shirts if one cost at $8.50 is

cost of 2 dresses if one cost at $27.50 is  

cost of 1 pair of gold cuff at $17.50

so, total amount of money that he should pay if he has not used his duty free exemption is   $25.5+$55+$17.50=$98