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Solve the following equation by using inverse operations to find the value of x. Hint: The sum of all interior angles in a triangle is 180 degrees.

x=60
x=90
x=30
x=180

Solve the following equation by using inverse operations to find the value of x Hint The sum of all interior angles in a triangle is 180 degrees x60 x90 x30 x18 class=

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akposevictor

Answer:

[tex] x = 30 [/tex]

Step-by-step explanation:

Given [tex] 2x, 3x, x [/tex], as the interior angles of the ∆, since sum of interior angles of ∆ = 180°, equation to solve for the value of x is given as:

[tex] 2x + 3x + x = 180 [/tex]

Combine like terms

[tex] 6x = 180 [/tex]

Apply the inverse operation of multiplication to solve for x. Since 6 is multiplying x = 6x, to get the value of x, the inverse operation of multiplication is division. Therefore, we would divide each side of the equation by 6.

[tex] \frac{6x}{6} = \frac{180}{6} [/tex]

[tex] x = 30 [/tex]

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