Question

What is the value of x

Answer 1

Answer:

98

Step-by-step explanation:

There are 7 sides to this polygon.  Forget all the lettering on the figure. Concentrate on the number of triangles you can count. There are 5 of them. Each one has 180 degrees. So the total number of degrees on the interior of the figure is

5 * 180 = 900

All you have to do is add up all the angles including the x and equate them to 900

x + 146  + 122 +142+ 140 + 110 + 142 = 900    Collect the terms on the left.

x + 802  =  900                                                Subtract 802 from both sides

x = 900 - 802

x = 98