In the given figure, it is given that AB = AC; ∠BAC = 36°; ∠ADB =

1.	In the given figure, it is given that AB = AC; ∠BAC = 36°; ∠ADB = 45° and ∠AEC = 40°. Find ∠DAB
Answer» Given that AB = AC; ∠BAC = 36°, ∠ADB = 45°, ∠AEC = 40° From the figure ∠ABD + ∠ABC = 180° ∠ABD = 180° – 72° = 1086 In ΔABD ∠DAB + ∠ABD + ∠D = 180° ∠DAB + 108° + 45° = 180° ∠DAB = 180° – 153° = 27°

In the given figure, it is given that AB = AC; ∠BAC = 36°; ∠ADB = 45° and ∠AEC = 40°. Find ∠DAB

Answer»

Given that AB = AC; ∠BAC = 36°,

∠ADB = 45°, ∠AEC = 40°

From the figure

∠ABD + ∠ABC = 180°

∠ABD = 180° – 72° = 1086

In ΔABD

∠DAB + ∠ABD + ∠D = 180°

∠DAB + 108° + 45° = 180°

∠DAB = 180° – 153° = 27°