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In the Figure of Q. No. 11 Given Above, If Ac = Ad = Cd = Bd ; Find Angle Abc. - Mathematics

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प्रश्न

In the figure given below, if AC = AD = CD = BD; find angle ABC.

योग

उत्तर

In ΔACD,
AC = AD = CD ......[Given]
Hence, ACD is an equilateral triangle.

∴ ∠ACD = ∠CDA = ∠CAD = 60°

In ΔADB 

AD = DB

∠DAB = ∠ABD = Let x

x + x + 120° = 180°

`x = (180° - 120°)/2`

= 30°

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अध्याय 10: Isosceles Triangles - Exercise 10 (A) [पृष्ठ १३२]

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सेलिना Concise Mathematics [English] Class 9 ICSE
अध्याय 10 Isosceles Triangles
Exercise 10 (A) | Q 12 | पृष्ठ १३२
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