Answer:
x = 84
Step-by-step explanation:
Remark
There are 5 sides. 3 triangles can be drawn from 1 vertex.
- Start with x as you vertex
- Draw a line from x to 91.
- Draw a line from x to 95
- Count the number of triangles. You should get 3.
- 3 * 180 = 540
What you have just found is that a 5 sided closed figure has interior angles that add up to 540 degrees.
Note
Rule: count the number of sides. Subtract 2. Multiply what you get by 180.
That is the sum of the interior angles in that polygon.
Equation
x + 150 + 91 + 95 + 120 = 540
Solution
Add the like terms on the left side
x + 456 = 540 Subtract 456 from both sides
x + 456-456 = 540-456
x = 84
