Question

one of the base angles of an Isosceles triangle is 54°.find its vertical angle​

Answer 1

we know the base angles of an isosceles triangle are equal

let the vertical angle be x

by question,

54+54+x=180

x= 180-108

x= 72° ans

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Answer 2

In an isosceles triangle, two sides are equal,
Therefore, angles opposite to equal sides are equal.

Therefore the two base angles are
54 degree each

Let the vertical angle be x,
Using angle sum property of a triangle,

x + 54 + 54 = 180
x + 108 = 180
x = 180-108 = 72

Therefore,
The vertical angle is 72 degree.