In the diagram, if angle PQR = 58, what is the measure of angle PMN?
Since RP = RQ.....then angles PQR and RPQ are equal
And by vertical angles , angle MPN = angle RPQ = 58
And since MP = NP, then triangle MPN is isosceles and we can figure angle PMN as
(180 - 58 ) / 2 =
122 / 2 =
61°