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Verified Answer :

2x+3x+4x=180
9x=180
180/9=20
therefore x= 20, so A

Answer:

Option A) 20 ... ... ... ✔

Step-by-step explanation:

\(\underline{\tt{❖ \: Given \: \: ❖}}\)

  • interior angle of triangle 2x,3x4x

\(\underline{\tt{❖ \: Solution \: ❖}}\)

We know that interior sum of all angle is 180°

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

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

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

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