Question

two triangles are connected. what is the value of x? 55° 50° 45° 40°

Explanation:

Step1: Recall triangle - angle sum property

The sum of interior angles of a triangle is 180°. In the left - hand triangle, if two angles are 95° and 45°, let the third angle be y. Then $y=180-(95 + 45)$.
$y=180 - 140=40^{\circ}$.

Step2: Use vertical angles property

The angle x and the angle y are vertical angles. Vertical angles are equal. So $x = y$.

Answer:

40°