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In square ABCD, ΔPAB is equilateral. Find the value of x in the figure. - Mathematics

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Question

In square ABCD, ΔPAB is equilateral. Find the value of x in the figure.

Sum
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Solution

In square ABCD, ΔPAB is equilateral.


Each internal angle of an equilateral triangle is 60°

The diagonal line divides the square into two equal halves.

⇒ ∠A + x + ∠B = 180°

⇒ 45° + x + 60° = 180°

⇒ x = 180° – 105°

⇒ x = 75°

Hence, this is required.

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Chapter 12: Rectilinear Figures (Theorems on Parallelograms and Construction of Polygons) - EXERCISE 12A [Page 139]

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B Nirmala Shastry Mathematics [English] Class 9 ICSE
Chapter 12 Rectilinear Figures (Theorems on Parallelograms and Construction of Polygons)
EXERCISE 12A | Q 4. | Page 139
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