Answer:
Trapezium
Step-by-step explanation:
Let the angles of quadrilateral ABCD be 3x, 7x, 6x and 4x consistent with the given ratios.
Using sum of all angles, we get that:
[tex]\angle A=3/20\times 360\textdegree=54\textdegree\\\\\angle B=7/20\times 360\textdegree=126\textdegree\\\\\angle C=6/20\times 360\textdegree=108\textdegree\\\\\angle D=4/20\times 360\textdegree=72\textdegree[/tex]
#from our figure: since corresponding angles are equal
[tex]\angle BCE=180\textdegree -\angle BCD\\\angle BCE=180\textdegree-108\textdegree=72\textdegree\\\angle BCE=\angle ADC\\\therefore BC||AD[/tex]
Hence , ABCD is a trapezium
