In an isosceles triangle, the vertex angle is twice the each base angle. What is the vertex angle?

Answer 1

#90^circ#

An isosceles triangle has two sides of equal length. Likewise, the opposite angles of the sides are the same

So lets assume each angle be #x# and the bigger angle be #2x# (since it is twice the base angle)

Now, we know that sum of the angles in a triangle is 180 degree

So,

#rarr2x+x+x=180^circ#

#rarr4x=180^circ#

#rarrx=180/4#

#color(green)(rArrx=45^circ#

Now the other angle is #2x# which is #45xx2=90^circ#

Hope this helps!!! ☺☻ have a good day...

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Answer 2

#90^@#

Since the sum of the interior angles of any triangle adds up to #180^@# and also the base angles of an isosceles triangle are equal,we may let the base angles be #x#, then the vertex angle is #2x#. #therefore x+x+2x=180^@#. #therefore x=45^@#. Therefore the vertex angle is #90^@#.
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Answer 3

In an isosceles triangle, the vertex angle is 120 degrees.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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