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Using the Information Given in Each of the Following Figures, Find the Values of a and B. (Given: Ce = Ac) - Mathematics

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Question

Using the information given of the following figure, find the values of a and b. [Given: CE = AC] 

Sum

Solution

In ΔCAE,

∠CAE = ∠AEC = `[180° - 68°]/2`

= 56°    [∵ CE = AC] 

In ∠BEA, 

a = 180° − 56°

= 124°

In ∠ABE, ∠ABE = 180° − (a + ∠BAE)

= 180° − (124° + 14°)

= 180° − 138°

= 42°

∠ABE = ∠b = 42°  

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Isosceles Triangles Theorem
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Chapter 10: Isosceles Triangles - Exercise 10 (B) [Page 136]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 10 Isosceles Triangles
Exercise 10 (B) | Q 27.1 | Page 136
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