Question

The figure shows how a leaf meets the stem of a flower to form two angles. the value of x is?

Answer 1

hello

to solve this question, we just have to know that "the sum of angles on a straight line is equals to 180 degrees"

using that knowledge, let's write out an equation

$\begin{gathered} x+(3x-24)=180 \\ x+3x-24=180 \\ 4x-24=180 \\ \end{gathered}$

let's collect like terms

$\begin{gathered} 4x=180+24 \\ 4x=204 \end{gathered}$

let's divde both sides by the coefficient of x

$\begin{gathered} 4x=204 \\ \frac{4x}{4}=\frac{204}{4} \\ x=51 \end{gathered}$

from the caculations above, the value of x is equals to 51 degrees