KyaniP451713 KyaniP451713
  • 25-10-2022
  • Mathematics
contestada

Can you please help me

Respuesta :

IosephL314117 IosephL314117
  • 25-10-2022

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

[tex]P+Q+S+R=360[/tex]

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

[tex]22+Q+S+90=360[/tex]

simplify

[tex]Q+S+112=360[/tex]

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

and we can replace Q=S

[tex]S+S+112=360[/tex]

simplify

[tex]2S+112=360[/tex]

and solve for S

[tex]\begin{gathered} 2S=360-112 \\ 2S=248 \\ S=\frac{248}{2} \\ \\ S=124 \end{gathered}[/tex]

then right option is D 124

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