Question

. In an isosceles triangle, the base angle and the
vertical angle are in the ratio 1:3. Calculate the
angle measures of the triangle​

Answer 1

Step-by-step explanation:

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

Consider base angle=x

Vertical angle =4x

In a triangle

x+x+4x=180

∘

By further calculation

6x=180

∘

x=180/6=30

∘

Therefore, each base angle =x=30

∘

and vertical angle=4x=4×30

∘

=120

∘

.

Answer 2

Step-by-step explanation:

x+3x+x=180°

5x=180°

x=36°

1st angle=36°

2nd angle=108°

3rd angle=36°