Question

I would appreciate it if someone could help answer this problem:)

Answer 1

Answer:

x = 85°

Step-by-step explanation:

As noticed this is a Pentagon (5 sided polygon); therefore to find x, first we have to find the sum of it's interior angles;

Sum of interior angles of a pentagon = (n - 2) * 180°

=> Sum of interior angles of a pentagon = (5 - 2) * 180°

=> Sum of interior angles of a pentagon = 3 * 180

=> Sum of interior angles of a pentagon = 540

Now that we know the sum of interior angles, we can set up the equation and solve for x;

115 + 95 + 115 + 130 + x = 540

455 + x = 540

x = 540 - 455

x = 85

Hope this helps!