True or False? A circle could be circumscribed about the quadrilateral below.

Question

asked Sep 9, 2019 185k views

2 Answers

MackieeE · Answer 1 · 2019-09-15T17:37:15+0000

Answer:

The correct answer is: False

Explanation:

If the sum of the opposite angles in a quadrilateral is 180°, then a circle can be circumscribed about the quadrilateral.

Here,
$\angle B+\angle D= 110\°+90\° = 180\°$

but,
$\angle A+\angle C= 70\°+90\°= 160\°$

So, a circle can't be circumscribed about the given quadrilateral.