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:
The smallest of the said odd numbers is 27
Step-by-step explanation:
Since it is 3 odd numbers that sums up to 87, the first thing to do is to divide 87 by 3
That is 87/3 = 29, which is an odd number
The nearest odd numbers to 29 are 27 and 31, and the total of all these three odd numbers is 87
That is 27+29+31 = 87, which are consecutive odd numbers.
The smallest odd number here is therefore 27
Answer:
219
Step-by-step explanation:
83 + 119 = 202
202 + 17 = 219
Answer:
1. 33.33%
2. 16.67%
Step-by-step explanation:
there's 6 cookies in total and 2 that are oatmeal so at first the ratio is 2:6 or 33.33% then you eat one so its now 1:6 or 16.67%
Answer:
120 ft
Step-by-step explanation:
Represent the path length by P.
Then 0.55P = 66 ft, and
66 ft
P = ---------- = 120 ft
0.55