Question

the diagram shows a triangle.
what is the value of x?
write your answer as an integer or as a decimal rounded to the nearest tenth.
x = □°

Explanation:

Step1: Use the triangle angle - sum property

The sum of interior angles in a triangle is \(180^{\circ}\). So, \((2x + 6)+4x+56 = 180\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \((2x+4x)+(6 + 56)=180\), which gives \(6x+62 = 180\).

Step3: Solve for \(x\)

Subtract \(62\) from both sides: \(6x=180 - 62\), so \(6x=118\). Then divide both sides by \(6\): \(x=\frac{118}{6}\approx19.7\).

Answer:

\(19.7\)