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satela [25.4K]
2 years ago
8

Triangle angle sum theorem What is the value of p?

Mathematics
1 answer:
monitta2 years ago
8 0

The angle sum property of triangle states that the sum of all angles of a triangle should be equal to 180°...

According to this theorem,

\sf54 + p-20 + p-48 = 180

\sf \: -14 + 2p = 180

\sf \: 2p = 180 +14

\sf \: 2p = 194

\sf \: p=97

<em>The value of p is 97... </em>

Now, Let's find the value of all angles with the help of value of p

  • Angle 1 = 54°
  • Angle 2 = p-48 = 97-48 = 49°
  • Angle 3 = p-20 = 97-20 = 77°
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