Answer:
The figure is NOT unique.
Imagine the following quadrilaterals:
Rectangle
Square
We know that:
Both quadrilaterals have at least two right angles.
However, they are not unique because they depend on the lengths of their sides.
Explanation:
To construct a quadrilateral uniquely, five measurements are required. A quadrilateral can be constructed uniquely if the lengths of its four sides and a diagonal are given or if the lengths of its three sides and two diagonals are given.
Just given two angles we cannot construct a unique quadrilateral. There may be an infinite number of quadrilaterals having atleast two right angles
Examples:
All squares with varying sides
All trapezoids with two right angles
All rectangles with different dimensions
and so on.
Answer is
No.