Question

the vertical angle of an isosceles ∆is 100• . find its base angles​

Answer 1

Answer:

In a isocles triangle, vertical angle + 2(base angle ) = 180

100 + 2(base angle)= 180

2(base angle) = 80

base angle = 80/2

base angle = 40°

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Answer 2

Answer:

40

Step-by-step explanation:

We know that an isosceles triangle has two sides of the same length and one side of different length.

The sum of the measures of the angles of the triangle is 180°.

We know the vertical angle of the triangle i.e., 100°.

Let the base angles be x and x since they have the same value.

So we get,

x+x+100=180° (by condition)

2x+100=180°

2x= 180-100

2x=80

x=80/2

x=40°

So the measure of both the base angles are x i.e., 40°.

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