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Verified Answer :

We know that in an isosceles triangle the two base angles are equal so let's get the sum of both
54+54 = 108
So the vertex angle equals
180-108
72°

Cricetus

Answer:

72\(\degree\)

Step-by-step explanation:

We know that the sum of all the angles of any triangle is 180\(\degree\)

We have to use the above property in order to find the measurement of the vertex angle.

Now our triangle is isosceles , that is the two equal sides will be containing equal angle. One of them is given as 54\(\degree\)

And hence the other will also be 54\(\degree\).

Let the vertex angle be x

180=54+54+×

180=108+×

x=180-108

x=72

Hence the vertex angle is 72\(\degree\)

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