Final answer:
Two possible quadrilaterals can be made with the given information.
Step-by-step explanation:
To find out how many quadrilaterals can be made with the given information, we need to understand the properties of a quadrilateral. A quadrilateral is a polygon with four sides.
Given that two sides of the quadrilateral have lengths of 10 and 5, and there is an angle of 45 degrees between them, we can draw two possible shapes for the quadrilateral:
- An isosceles trapezoid with side lengths of 10, 10, 5, and 5.
- A kite with side lengths of 10, 5, 10, and 5.
So, there are two possible quadrilaterals that can be made with the given information.