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