Question

1. find the value of x. 30° (3x - 10)° x° 35 40 110 80

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. So, we have the equation \(30+(3x - 10)+x=180\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \(30+3x - 10+x=(3x+x)+(30 - 10)=4x + 20\). So the equation becomes \(4x+20 = 180\).

Step3: Solve for \(x\)

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

Answer:

40