Question

Given the diagram of parallelogram LMNO, solve for r.

Answer 1

4r = 3s --> eqn 1,
we'll have s = 4r/3
2t+10 = 3t - 15
Hence, t = 25
2t + 10 = 3t - 15 = 60

from summation angle of quadrilateral equals 360, we have

(2t + 10) + (3t - 15) + 4r + 3s = 360
60 + 60 + 4r + 3(4r/3) = 360
120 + 8r = 360
8r = 240
r = 30