Answer:
m∠M = 123° ; m∠L = m∠N = 90°
Step-by-step explanation:
A quadrangle LMNP is inscribed in circle which means:
m∠L + m∠N = m∠P + m∠M = 180°
m∠P + m∠M = 180°
57° + m∠M = 180°
m∠M = 123°
m∠L + m∠N = 180° and m∠L + m∠N
m∠L + m∠L = 180°
2×m∠L = 180°
m∠L = 90°
m∠N = m∠L = 90°
