Question

What is the measure of angle NOP

Answer 1

For any inscribed quadrilateral, the opposite angles add to 180

(angle PMN) + (angle NOP) = 180

(8x-24) + (4x) = 180

12x-24 = 180

12x-24+24 = 180+24  ..... add 24 to both sides

12x = 204

12x/12 = 204/12 ..... divide both sides by 12

x = 17

angle NOP = 4x

angle NOP = 4*17

angle NOP = 68 degrees