Question

How do I solve for x? Would my answer be 27?

Answer 1

Exterior property of a triangle

An exterior angle of a triangle is equal to the sum of its two opposite non-adjacent interior angles.

Hence,

`(5x+13)^0=(4x+2)^0+(2x-9)^0`

Simplify and evaluate for x

`\begin{gathered} 5x+13^0=4x+2^0+2x-9^0 \\ 5x+13^0=4x+2x+2^0-9^0 \\ 5x+13^0=6x-7^0 \\ \text{Collect like terms} \\ 13^0+7^0=6x-5x \\ 20^0=x \\ \therefore x=20^0 \end{gathered}`

Therefore,

`x=20^0`