Question

1. the degree measures of the 3 angles of the triangle below are expressed in terms of x. what is the value of x? f. 10 g. 12 h. 24 j. 30 k. 36

Explanation:

Step1: Apply triangle - sum property

The sum of the interior angles of a triangle is 180 degrees. So, we set up the equation \(4x + 5x+6x=180\).

Step2: Combine like - terms

Combining the \(x\) terms on the left - hand side gives \((4 + 5+6)x=15x\). So the equation becomes \(15x = 180\).

Step3: Solve for \(x\)

Dividing both sides of the equation \(15x = 180\) by 15, we get \(x=\frac{180}{15}=12\).

Answer:

G. 12