Q. 1455.0( 3 Votes )

# In rectangle PAIR. Find ∠ARI, ∠RMI and ∠PMA.

Answer :

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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