What is the value of x? Please provide an explanation, thanks!

x = 25/4

General Formulas and Concepts:

Pre-Algebra

Geometry

Step-by-step explanation:

Step 1: Set up equation

(22x + 1)° + (6x - 17)° + (4x - 4)° = 180°

Step 2: Solve for x

x=6.25

Step-by-step explanation:

What you do is add up all the angles equal to 180 because a triangle always adds up to 180 degrees and you are given all angles.

explanation:

previous steps have made pa≅ pb ≅ st ≅ su. setting the compass width to ab allows you to make tu the same length. then δstu ≅ δpab by the sss congruence postulate, and ∠p ≅ ∠s by the reason cpctc.