Question

I need help finding the value of x. I have tried multiple times but still could not find the value for x

Answer 1

The sum of the interior angle of a quadrilateral is equal to 360°. Given a quadrilateral with interior angles of 51°, 110°, 117°, and x°. We know that

`x\degree+51\degree+110\degree+117\degree=360\degree`

Simplify, and solve for x°

`\begin{gathered} x\degree+51\degree+110\degree+117\degree=360\degree \\ x\degree+278\degree=360\degree \\ x\degree=360\degree-278\degree \\ x\degree=82\degree \end{gathered}`

Therefore, the value of x° is 82°.