Q145 of 160 Page 144

In rectangle PAIR. Find ARI. RMI and PMA.

Given, ∠RAI = 35

⟹In ∆ARI,


∠A + ∠R + ∠I = 180


35 + ∠ARI + 90 = 180


∠ARI = 55


⟹In ∆RMI,


∠R + ∠M + ∠I = 180


∠ARI + ∠RMI + ∠ARI = 180 {∠ARI = ∠MIR, = 55


(2×55) + ∠RMI = 180


∠RMI = 70


And, ∠PMA = 180-∠RMI


∠PMA = 180-70


∠PMA = 110


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