Question

Can the angles $110º,80º,70º$ and $95º$ be the angles of a quadrilateral? Why or why not?

Answer 1

Use angle sum property of a quadrilateral:

According to the angle sum property of a quadrilateral if $A,B,C$and $D$ are vertices,

$$\begin{gathered} \angle \mathrm{A}+\angle \mathrm{B}+\angle \mathrm{C}+\angle \mathrm{D}={360}^0 \\ {110}^0+{80}^0+{70}^0+{95}^0={355}^0 \\ {355}^0\ne {360}^0 \end{gathered}$$

Hence, the angles $110º,80º,70º$ and $95º$ can't be the angles of a quadrilateral