Solve for X: Finding Angles 4x and 2x in an Isosceles Triangle

Question

ABC is an isosceles triangle.

$∢A=4x$

$∢B=2x$

Calculate the value of x.

As we know that triangle ABC is isosceles.

$B=C=2X$

It is known that in a triangle the sum of the angles is 180.

Therefore, we can calculate in the following way:

$2X+2X+4X=180$

$4X+4X=180$

$8X=180$

We divide the two sections by 8:

$\frac{8X}{8}=\frac{180}{8}$

$X=22.5$

22.5