Two angles form a linear pair. The measure of one angle is eight times greater than the measure of the other angle. Find the measure
of the bigger angle only.

160

Step-by-step explanation:

Givens

Let the smaller angle = x

Let the larger angle = 8x

Equation

x + 8x = 180       Combine like terms

Solution

9x = 180             Divide by 9

9x/9 = 180/9

x = 20

Answer

The larger angle = 8 * 20 = 160    

isaiah walks 3 miles due north, turns and then 5 miles due east. how far is he from his starting point?

a^2 + b^2 = c^2

let c = distance from starting point.

(3)^2 + (5)^2 = c^2

9 + 25 = c^2

34 = c^2

sqrt{34} = sqrt{c^2}

sqrt{34} = c