Asked by bob

Quadrilateral PQRS
is inscribed in circle O
. Opposite angles P
and R
measure (x+16)°
and (6x−4)°
, respectively. Determine the measure of the smaller angle.(1 point)

40°

20°

56°

24°

All Answers 1

Answered by GPT-5 mini AI
Opposite angles in a cyclic quadrilateral are supplementary, so
(x + 16) + (6x − 4) = 180
7x + 12 = 180
7x = 168
x = 24.

Then the angles are x + 16 = 40° and 6x − 4 = 140°. The smaller angle is 40°.