An isosceles triangles, such that the vertical angle is 4times the size of the base angle.what is the size of the base angle with illustration

Answer 1

Let x be the size of the base angle. Since the vertical angle is 4 times the size of the base angle, the vertical angle is 4x.

In an isosceles triangle, the sum of the base angles is equal to 180 degrees minus the vertical angle:

x + x + 4x = 180
6x = 180
x = 30

So the size of the base angle is 30 degrees.

Here's a simple illustration:

/\
/ \
4x=120/ \
/ \
/________\
x=30 x=30