Question

question 2 of 5. drag each tile to the correct box. quadrilateral abcd is inscribed in the circle shown. order the angle measures from least to greatest. m∠a = 110°, m∠b = 72°, m∠c, m∠d

Explanation:

Step1: Recall property of cyclic quadrilateral

In a cyclic quadrilateral, opposite - angles are supplementary. So, if $\angle A = 110^{\circ}$, then $\angle C=180 - 110=70^{\circ}$, and if $\angle B = 72^{\circ}$, then $\angle D=180 - 72 = 108^{\circ}$.

Step2: Compare angle measures

We have $\angle A = 110^{\circ}$, $\angle B = 72^{\circ}$, $\angle C = 70^{\circ}$, $\angle D = 108^{\circ}$.

Answer:

$m\angle C$, $m\angle B$, $m\angle D$, $m\angle A$