Question

solve for interior angles - triangle (level 2)
question
the measures of the angles of a triangle are shown in the figure below. solve for x.
answer

Explanation:

Step1: Recall angle - sum property

The sum of interior angles of a triangle is 180°. So, \((3x - 12)+60 + 90=180\).

Step2: Simplify the left - hand side

Combine like terms: \(3x-12 + 150=180\), which simplifies to \(3x+138 = 180\).

Step3: Isolate the variable term

Subtract 138 from both sides: \(3x=180 - 138\), so \(3x = 42\).

Step4: Solve for x

Divide both sides by 3: \(x=\frac{42}{3}=14\).

Answer:

14