Question

The sum of the angle measures of a triangle is 180 degrees. Find the measure of each angle. (Show your work.)

Answer 1

x = 20

Explanation:

(All triangles have a total length of 180)

x - 2 + 4x + 1 + 4x + 1 = 180

(Use algebra)

x - 2 + 4x + 1 + 4x + 1 = 180

+ 2 - 1 - 1 = + 2 -1 -1

x + 4x + 4x = 180

9x = 180

(divide by 9)

x = 20

Check:

(20) - 2 + 4(20) + 1 + 4(20) + 1

= 180