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Answer:

[tex]\boxed {\sf Equation: 60 \textdegree +4x= 180 \textdegree} \\[/tex]

[tex]\boxed {\sf x=30}[/tex]

Step-by-step explanation:

The interior angles of a triangle must add to 180 degrees.

In this triangle, the angles are A, B , and C. So,

  • ∠A + ∠B + ∠C= 180°

∠A is 60 degrees, ∠B is 3x, and ∠C is x. We can substitute the values in.

  • 60°+3x+x=180°

This is the equation we can use to find the value of x.

We also have like terms: 3x and x that can be combined.

  • 60° + (3x+x)= 180°
  • 60° + 4x=180°

We can use the equation to solve for x. We have to isolate the variable.

60 is being added to 4x. The inverse of addition is subtraction. Subtract 60 from both sides of the equation.

  • 60°-60°+4x=180°-60°
  • 4x= 180°-60°
  • 4x=120°

x is being multiplied by 4. The inverse of multiplication is division. Divide both sides by 4.

  • 4x/4= 120°/4
  • x= 120°/4
  • x=30

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