roxiejohnson1220 roxiejohnson1220
  • 03-12-2019
  • Mathematics
contestada

in kite PODS, m<o=119 and m<s=71 what is m<p?​

in kite PODS mlto119 and mlts71 what is mltp class=

Respuesta :

jimrgrant1 jimrgrant1
  • 03-12-2019

Answer:

∠P = 85°

Step-by-step explanation:

The sum of the interior angles of a kite = 360°, thus

∠P + ∠D + 119 + 71 = 360, that is

∠P + ∠D  + 190 = 360 ( subtract 190 from both sides )

∠P + ∠D = 170°

The opposite angles  P and D are congruent, thus

∠P = [tex]\frac{170}{2}[/tex] = 85°

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