Question

Solve it please ••••••••​

Answer 1

Answer with Step-by-step explanation:

Sides of a square are equal. which equals to 90°

Equilateral triangle which equals to 60°

From figure (I)

ABCD is a square and ∆BEC is an equilateral triangle.

(i) ∠ABE = ∠ABC + ∠CBE

=> ∠ABE = 90° + 60° = 150°

=> ∠ABE = 150°

(ii) ∆ ABE => ∠ABE + ∠BEA + ∠BAE = 180°

=> 150° + ∠BAE + ∠BAE = 180° (∵ AB = BE)

=> 150° + 2∠BAE = 180°

=> 2∠BAE = 180° - 150° = 30°

∴ ∠BAE = 30°/2 = 15°

∴ ∠BAE = 15°

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From figure (ii) -

∵ ABCD is a square and ∆ BEC is an

Equilateral triangle.

(i) ∴ ∠ABE = ∠ABC - ∠CBE

=> ∠ABE = 90° - 60° = 30°

=> ∠ABE = 30°

(ii) In ∆ ABE, ∠ABE + ∠AEB + ∠BAE = 180°

=> 30° + ∠BAE + ∠BAE = 180° (∵ AB = BE)

=> 30° + 2∠BAE = 180°

2∠BAE = 180° – 30° = 150°

=> ∠BAE = 150°/2 = 75°

=> ∠BAE = 75°