Answer:
x = 46°
Step-by-step explanation:
The measure of the exterior angle at a vertex of a triangle equal to the sum of the measures of the two opposite interior angle to this vertex
In the given parallelogram
∵ Its two diagonals intersected at a point and formed 4 triangles
∵ The angle of measure 69° is an exterior angle of the triangle that
contains angles z, x, and 23°
∵ The opposite interior angles to the angle of measure 69° are x and
the angle of measure 23°
→ By using the rule above
∴ x + 23° = 69°
→ Subtract 23 from both sides
∴ x + 23 - 23 = 69 - 23
∴ x = 46°
