Question

what is the value of x? (x + 17)° (4x - 34)° (6x + 10)°

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. So, \((x + 17)+(4x-34)+(6x + 10)=180\).

Step2: Combine like - terms

First, combine the x - terms and the constant terms: \((x+4x + 6x)+(17-34 + 10)=180\).
This simplifies to \(11x-7 = 180\).

Step3: Isolate the variable x

Add 7 to both sides of the equation: \(11x-7+7=180 + 7\), which gives \(11x=187\).
Then divide both sides by 11: \(x=\frac{187}{11}=17\).

Answer:

17