Answer:
x = 17.6
Step-by-step explanation:
Since the shape is a rectangle, it means that all the angles have the same value. ∠PLE is one of the angles. ∠PLE is also equal to all the other angles. Now, we have to know the sum of interior angles of a quadrilateral... Which is 360°
To find x, we have to add 5x+2 four times, and equal it to 360. Like this:
[tex](5x+2)+(5x+2)+(5x+2)+(5x+2)=360[/tex]
Now, we solve by combining like terms.
(5x+2) + (5x+2) + (5x+2) + (5x+2) = 360
20x + 8 = 360
20x = 352
352/20 = 17.6
To check your answer, plug in 17.6 with x, and ONE angles should be 90°
[tex]5(17.6)+2=90[/tex] ✅
