The external angle is suplementary to the internal angle close to it. We also know that the sum of all the internal angles of the triangle are equal to 180 degrees, this means that the angle "a" is suplementary to the sum of the angles "b" and "c". Through this logic, we can conclude that since:

Then we can conclude that:

Therefore the statement is true, the exterior angle is equal to the sum of its remote interior angles.
Let's use an example:
On this example, the external angle is 120 degrees, therefore the sum of the remote interior angles must also be equal to that. Let's try:

The sum of the remote interior angles is equal to the external angle.
Answer:
B
Step-by-step explanation:
Not all of the pairs represent the same ratio
Answer:
After the discount, the customer will pay only 91.4% of the initial price.
Step-by-step explanation:
We have that the price of the current retailer, in dollars, is:
3.50
After the discount, the new price, in dollars, is:
3.20
We want to know what percentage of the original price is the final price.
To find out, we must divide the final price between the initial price and then multiply the result by 100%
So:
*100% = 0.914. * 100% = 91.4%
After the discount, the customer will pay only 91.4% of the initial price.
The discount percentage you are going to pay is 100% -91.4% = 8.6% of the initial price
Perimeter
Perimeter is the distance all round a particular shape. Since we are not given the shape of her bedroom, we may not have a particular formula that was uses to find the perimeter. Despite all that, the only way that she could arrive to conclusion that 36 meters of light are needed, then Supriya it is by finding the perimeter.
Step-by-step explanation:
Answer: The piano has 222 strings, because 37×6=222.
Step-by-step explanation:
Since we are informed that Leslie tuned a guitar with 6 strings today and that she then tuned a piano with 37 times as many strings.
This simply means that we have to multiply 37 by 6 strings to get the value of the strings of the piano that she tuned. This will be:
= 6 × 37
= 222 strings.
Leslie tuned 222 strings.
Therefore, the piano has 222 strings, because 37×6=222.