Question

I need to know how do i find x ?

Answer 1

all the angle should add up to 540 degrees

91 + 95 + 120 + 150 = 456

540 - 456 = 84

x = 84 degrees

Answer 2

x = 84

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