Question

In an isosceles triangle the vertex angle is thrice of either base angle. find the measure of angle of the triangle ​

Answer 1

Answer:

Step-by-step explanation:

In an isosceles Triangle ABC

AB = AC ( Given )

Angle B = Angle C

( Opposite angles of equal sides are equal.)

Now

Angle A = 3 Angle B or 3 Angle C

Now

Angle A + Angle B + Angle C = 180 °

( 3 Angle B ) + ( Angle B ) + ( Angle B) = 180°

5 Angle B = 180 °

Angle B = 180 / 5 = 36°

So

Angle A = 3 Angle B = 36 × 3 = 108°

Angle B = 36 °

Angle C = Angle B = 36 °

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