Question

Can you please help me

Answer 1

the sum of internal angles of a 4-sides figure is 360° ever then

`P+Q+S+R=360`

we know P and R is a right angles then is 90°, then we can replace

`22+Q+S+90=360`

simplify

`Q+S+112=360`

and the angles Q and S are the same because the kite is symmetrical then Q=S

and we can replace Q=S

`S+S+112=360`

simplify

`2S+112=360`

and solve for S

`\begin{gathered} 2S=360-112 \\ 2S=248 \\ S=(248)/(2) \\ \\ S=124 \end{gathered}`

then right option is D 124