Question

1. find x and y.

Explanation:

Step1: Use angle - sum property of a triangle

The sum of interior angles of a triangle is 180°. So, \(3x + 4x+2x=180\).
Combining like - terms, we get \(9x = 180\).
Dividing both sides by 9, \(x=\frac{180}{9}=20\).

Step2: Use the property of a linear pair

The angle \(y\) and the \(2x\) angle form a linear pair. A linear pair of angles sums to 180°.
Since \(x = 20\), then \(2x=40\).
So, \(y=180 - 2x\). Substituting \(x = 20\), we get \(y=180-40 = 140\).

Answer:

\(x = 20\), \(y = 140\)