Question

question 5 of 10
true or false? a circle could be circumscribed about the quadrilateral below.
a. true
b. false

Explanation:

Step1: Recall cyclic quadrilateral rule

A quadrilateral is cyclic (can have a circumscribed circle) if and only if the sum of each pair of opposite angles equals $180^\circ$.

Step2: Check angle pair $\angle A$ and $\angle C$

$\angle A = 70^\circ$, $\angle C = 90^\circ$
$\angle A + \angle C = 70^\circ + 90^\circ = 160^\circ
eq 180^\circ$

Step3: Check angle pair $\angle B$ and $\angle D$

$\angle B = 110^\circ$, $\angle D = 90^\circ$
$\angle B + \angle D = 110^\circ + 90^\circ = 200^\circ
eq 180^\circ$

Answer:

B. False