arimarci arimarci
  • 20-03-2021
  • Mathematics
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In ANOP, PN = OP and m20 = 32°. Find mZP.

In ANOP PN OP and m20 32 Find mZP class=

Respuesta :

olayemiolakunle65
olayemiolakunle65 olayemiolakunle65
  • 25-03-2021

Answer:

m<P = [tex]116^{0}[/tex]

Step-by-step explanation:

The given triangle is an isosceles triangle.

Since PN ≅ OP, then m<O ≅ m<N.

So that,

m<O + m<P + m<N = 180 (sum of angles in a triangle)

But,

m<O = 32 ≅ m<N = 32 (base angles of an isosceles triangle are equal)

32 + 32 + m<P = 180

64 + m<P = 180

m<P = 180 - 64

       = 116

m<P = [tex]116^{0}[/tex]

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