Question

In an isosceles triangle, each base angle is four times it's vertical angle. Find each angle of the triangle​

Answer 1

Answer:

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Answer 2

Answer:The angles in the triangle are 20°, 80°, 80°

Step-by-step explanation:

Let the vertex angle be a

The base angle = 4 times vertex angle = 4 × a= 4a

As the given triangle is isosceles triangle, the base angles are equal.

We know that

The sum of three angles in a triangle is 180°

a + 4a + 4a = 180°

9a = 180°

a = 180÷9 = 20°

4a = 4× 20 = 80°

The three angles of given triangle are 20°, 80°