Question

Help, answer one that hasn’t been answered

Answer 1

4x + 2x = < y

This is because the opposite sides (which is 4x and 2x) of a triangle add up to the exterior angle (<y).

We have to find X.

As you know:

$3x + 4x + 2x = 180$

because the angles of a triangle add up to 180.

When we add them:

$9x = 180$

$x = \frac{180}{9}$

The 9 is multiplying with the X. We want X only and not 9 with it. So, when we take 9 to the other side, it becomes divide. As a result, the answer to x is:-

$x = 20$

Substitute value of x into 4x and 2x to find the exterior angle:-

4x:

$4(20) = 80$

2x:

$2(20) = 40$

When we add them we get the answer for angle Y:-

$80 + 40 = 120$

Therefore, we can conclude that:

$< y = 120 \: degrees$