In: Math
in the figure shown, MN and NR intersect at point p. NP=QP, and MP=PR. what is the measure, in degrees of angle QMR?
From the figure shown, angle NPQ can be obtain by subtracting 60 from 180. This is because, angle NPQ and RPQ are angles on a straight line which add upto 180 degrees.
angle NPQ =120 degrees.
Angles NPQ and MPR are equal since they are vertically opposite angles
triangle MPR is an isosceles triangle with one angle being 120 degrees.
to find angle QMR, we subtract 120 from 180 and divide the answer by two
angle QMR = (180-120)/2
=30 degrees.
The value of angle QMR IS 30 degrees