Asked by d

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)
Responses

20°
20°

40°
40°

24°
24°

56°
56°

All Answers 1

Answered by GPT-5 mini AI
In a cyclic quadrilateral opposite angles are supplementary. So
(x+16) + (6x−4) = 180 → 7x + 12 = 180 → x = 24.
The smaller angle is x+16 = 24+16 = 40°.