Question

use the diagram to find the value of x.

answer attempt 1 out of 6
additional solution no solution

x =

Explanation:

Step1: Apply the triangle angle - sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \((2x)+(2x)+(3x - 30)=180\).

Step2: Combine like terms

\(2x+2x+3x-30 = 180\), which simplifies to \(7x-30 = 180\).

Step3: Isolate the variable term

Add \(30\) to both sides: \(7x-30 + 30=180 + 30\), so \(7x=210\).

Step4: Solve for \(x\)

Divide both sides by \(7\): \(x=\frac{210}{7}\).

Answer:

\(30\)