Question

One of the base angle of an isoceles triangle is 54.find vertical angle

Answer 1

Base angles are equal as it is a isosceles triangle.

therefore

x+54+54=180

x=180-108

x=72°

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Answer 2

The vertical angle is 72°

Step-by-step explanation:

It has been given that

Base angle = 54 °

Now, we know that in an isosceles triangle, the base angles are equal.

Thus, the two angles of the triangle is 54 °

Let the vertical angle is x

In a triangle, the sum of interior angles is 180°. Therefore, we have

x + 54 + 54 = 180

x + 108 = 180

x = 180 - 108

x = 72°

Therefore, the vertical angle is 72°

#Learn More:

The vertical angle of an isosceles triangle is 72 degree. Find its base angles

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