Answer:
Two angles are supplementary if the sum of their measures is 180 . ... You can write "the measure of angle 1" as m∠1. ... Find m∠2, m∠3, and m∠4.
Step-by-step explanation:
12 it's adds ×÷2 ( 8÷2=4) and then add the two numbers (8&4)
Sum/difference:
Let

This means that

Now, assume that
is rational. The sum/difference of two rational numbers is still rational (so 5-x is rational), and the division by 3 doesn't change this. So, you have that the square root of 8 equals a rational number, which is false. The mistake must have been supposing that
was rational, which proves that the sum/difference of the two given terms was irrational
Multiplication/division:
The logic is actually the same: if we multiply the two terms we get

if again we assume x to be rational, we have

But if x is rational, so is -x/15, and again we come to a contradiction: we have the square root of 8 on one side, which is irrational, and -x/15 on the other, which is rational. So, again, x must have been irrational. You can prove the same claim for the division in a totally similar fashion.