Question

Measures of angles of ABCD are in the ratio 4 : 5 : 7 : 8 Show that ABCD is a trapezium.
​

Answer 1

Answer:

sum of angles for four sided polygon is 360°

4x+5x+7x+8x=360

24x=360

x=15

so angles are 60;75;105;120 here two angles are acute and two are obtuse so it's a trapezium

Answer 2

Step-by-step explanation:

Let the sides be 4x°,5x°,7xº and 8x° Sum of all the angles of trapezium is 360°

4x°+5x°+7x°+8x°=360°

24x°=360°

x=360°/24°

x=15°

4x°=4x15°=60°

5x°=5x15º=75°

7x°=7x15°=105°

8x°=8x15°=120°