Question

Find the sum of the interior angles of the shape. Use the remaining angles to solve for x. Polygons Help118105759130Sum of interior angles =degreesdegrees

Answer 1

x = 112

Explanation:

The figure given is a pentagon; therefore, the sum of interior angles must add up to 540 degrees.

This means

`105^o+118^o+75^o+130^o+x=540^o`

Adding the angles on the left-hand side gives

`428^o+x=540^o`

Finally, subtracting 428 from both sides gives

`428^o+x-428^o=540^o-428^o`
`x=540^o-428^o`
`x=112^o`

which is our answer!