Question

1. determine the value of x in the diagram. enter your answer in the box. x =

Explanation:

Step1: Recall angle - sum property

The sum of the interior angles of a triangle is 180°. For the given triangle, we can set up an equation using this property.
Let the angles of the triangle be \(x\), 152°, and 17°. So \(x + 152+17=180\).

Step2: Solve for \(x\)

We can rewrite the equation as \(x=180-(152 + 17)\).
First, calculate \(152+17 = 169\). Then \(x=180 - 169\).
So \(x = 11\).

Answer:

11