Question

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

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

Answer 1

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

Answer 2

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`