Which of the following error ranges would be the most reliable?
a. ±12 percentage points
b. ±7 percentage points
c. ±2 percentage points
d. ±17 percentage points

The correct answer to this question is letter "C. ±2 percentage points." The error range that would be the most reliable is that positive and negative 2 percentage points. It shows an error that is 2 distance away from the exact percentage. The nearer the error percentage, the reliable it is.

The smaller angle is 18 degrees

The larger angle is 72 degrees

Step-by-step explanation:

x = smaller angle

y = larger angle

y = 4x ---> one angle is 4 times larger than other one.

y + x = 90 > the sum of complementary angles is 90 degrees

4x + x = 90 > plug in 4x for the larger angle (y) and then solve

5x = 90

x = 18 > the smaller angle is 18 degrees

y = 90 - 18

y = 72 > the larger angle is 72 degrees