Question

LMNP is inscribed in circle R. If the measure of angle P = 57°, and angle L = angle N, what are the measures of angle M, angle L, and angle N? Please help!!!!

Answer 1

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°