Answer:
a=24, c=8
Step-by-step explanation:
Equations and Geometry
A parallelogram is known because its opposite sides are parallel and have the same lenght. So, knowing one of them, we can say the other has the same value. Angles opposed by the vertex are also equal. If we extended the lines AC and AD near the vertex A, we can see both marked angles are equal, i.e.
4a-33=2a+15
4a-2a=33+15
a=24
The parallel sides given are equal, so
3c-5=2c+3
3c-2c=5+3
c=8
The solution is [tex]\boxed{a=24, c=8}[/tex]
