Answer:
m∠M = 116°
m∠N = 111°
m∠O = 64°
m∠P = 69°
Step-by-step explanation:
A quadrilateral can be inscribed in a circle only if the sum of its opposite angles is equal to 180°, so:
7x - 15 + 3x + 15 = 180° and 2(17y - 10) + 13y + 12 = 180°
10x = 180° 34y - 20 + 13y + 12 = 180°
x = 18° 47y = 188°
y = 4°
m∠M: 2(17•4 - 10) = 2•58° = 116
m∠N: 7•18 - 15 =126 - 15 = 111
m∠O: 13•4 + 12 = 52 + 12 = 64
m∠P: 3•18 + 15 = 54 + 15 = 69
