Question

1. find the value of x.

30°
(3x - 10)°
x°
35
110
40
80

Explanation:

Step1: Apply the triangle angle - sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \(30+(3x - 10)+x=180\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \(30-10 + 3x+x=180\), which simplifies to \(20 + 4x=180\).

Step3: Solve for \(x\)

Subtract 20 from both sides: \(4x=180 - 20\), so \(4x=160\). Then divide both sides by 4: \(x=\frac{160}{4}=40\).

Answer:

40