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The angles of a triangle are 2x, 3x, and 4x degrees. Find the value of x.

A) 20
B) 30
C) 40
D) 50

User Aldekein
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2 Answers

4 votes
2x+3x+4x=180
9x=180
180/9=20
therefore x= 20, so A
User Vladimir Protsenko
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4 votes

Answer:

Option A) 20 ... ... ... ✔

Explanation:


\underline{\tt{❖ \: Given \: \: ❖}}

  • interior angle of triangle 2x,3x4x


\underline{\tt{❖ \: Solution \: ❖}}

We know that interior sum of all angle is 180°


\; \;\dashrightarrow \;\pmb {2x+3x+4x=180°}


\; \;\dashrightarrow \;\pmb {9x=180°}


\; \;\dashrightarrow \;\pmb {x = (180)/(9) }


\; \;\dashrightarrow\; \; {\pmb{\underline{\boxed{\red{\frak { x = 20 }}}}}} \; \green\bigstar

User GuerillaRadio
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