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.

00:00 Calculate X

00:03 isosceles triangle according to the given data

00:07 in an isosceles triangle, the base angles are equal

00:18 the sum of angles in a triangle equals 180

00:26 let's collect terms and isolate X

00:46 and this is the solution to the question

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