Question

The base angle of an isosceles triangle is 'b' degree. The vertex angle is three times the base angles. Find the measure of each angle​

Answer 1

Answer:

Vertex angle = 108°

One base angle = 36°

Another base angle = 36°

Step-by-step explanation:

Base angle = b° (given)

Vertex angle = 3×b° = 3b°(given)

Another base angle = b° (because it is an isoscale triangle)

So, 3b°+b°+b° = 180°

=>5b° = 180°

=>b° = 180°÷ 5

=>b° = 36°

Now, Vertex angle = 3b° = 3×36° = 108°

One base angle = Another base angle = 36°

Hence, all angles are 108°, 36° and 36°.

Hope, it helps