Isosceles triangle means both base angles are the same. SO,
42+42= 84
a triangle has 180 degrees. 180-84=96
the vertex angle is 96 degrees
The base angles of an isosceles triangle are equal.
The vertex angle is: 96 degrees
The given parameters are:
[tex]Base = 42[/tex]
So, we have:
[tex]Vertex + Base + Base = 180[/tex] --- sum of angles in a triangle
Substitute known values
[tex]Vertex + 42+42 = 180[/tex]
[tex]Vertex + 84 = 180[/tex]
Collect like terms
[tex]Vertex = -84 + 180[/tex]
[tex]Vertex = 96[/tex]
Hence, the vertex angle is: 96 degrees
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