Question

the measures of the angles of a triangle are shown in the figure below. answer: find the value of x. x =

Explanation:

Step1: Recall angle - sum property

The sum of the interior angles of a triangle is 180°. So, we have the equation \(28+(4x + 19)+60=180\).

Step2: Simplify the left - hand side

Combine like terms: \(28 + 60+4x+19=107 + 4x\). So the equation becomes \(107+4x = 180\).

Step3: Isolate the variable term

Subtract 107 from both sides: \(4x=180 - 107\), which gives \(4x = 73\).

Step4: Solve for x

Divide both sides by 4: \(x=\frac{73}{4}=18.25\).

Answer:

\(18.25\)