Question

the angle of the vertex of an isosceles triangle is 100 find its base angle​

Answer 1

Answer:

Step-by-step explanation:

Heya!!

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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Answer 2

if ABC is an isosceles triangle,

in isosceles triangle opp. angles & sides are equal.

angle A + B + C = 180°

B + C = 180°-100° = 80°

B=C

B+B = 2B = 80°

B = 40°