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

The Figure Shows How A Leaf Meets The Stem Of A Flower To Form Two Angles The Value Of X Is class=

Sagot :

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

[tex]\begin{gathered} x+(3x-24)=180 \\ x+3x-24=180 \\ 4x-24=180 \\ \end{gathered}[/tex]

let's collect like terms

[tex]\begin{gathered} 4x=180+24 \\ 4x=204 \end{gathered}[/tex]

let's divde both sides by the coefficient of x

[tex]\begin{gathered} 4x=204 \\ \frac{4x}{4}=\frac{204}{4} \\ x=51 \end{gathered}[/tex]

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

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