In the diagram lt PSR 220o lt SPQ 58o and lt PQ... - WAEC Mathematics 2010 Question

Joining SQ. In (\bigtriangleup) SPQ,

(22^o + a) + 55^o + (41^o + b) = 180^o

121^o + a + b = 180^o

a + b = 180 - 121

a + b = 59^o.....(1)

In (\bigtriangleup) SRPQ; R + a + b = 180^o

R + 59^o = 180^o

(in (1), a + b = 59^o)

R = 180 - 59

R = 121^o