Question

The ratio between the vertical angle and a base angle of an isosceles triangle is 8:5. Find all the angles of the triangle.

Answer 1

Answer:

The angles of the triangle are $50^0, 50^0,100^0$

Step-by-step explanation:

It is given that the ratio between a base angle and the vertical angle of an isosceles triangle =1:4

Consider base angle=5x

Vertical angle =8x

In a triangle

               $5x+5x+8x=180\\ \\ 18x=180\\ \\ x=\frac{180}{18}=10\\ \\ 8x= 8 \cdot 10=80^0\\ \\ 5x=5 \cdot 10=50^0$