Question

Triangle angle sum theorem What is the value of p?

Answer 1

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,

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

$\sf \: -14 + 2p = 180$

$\sf \: 2p = 180 +14$

$\sf \: 2p = 194$

$\sf \: p=97$

The value of p is 97...

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°