in triangle ABC, AB = AC and A=80• find the measure of X and Y
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Answer:
Given,
In ABC,
AB = AC
;<ABC = <ABC
;<ABC+ <ACB+ <BAC = 180°
;2<ABC + <80° = 180°
;<ABC = 100°/2 =50°
;<CBA = < BCA = 50°
Now,
<ABC+<X = 180°. ( L.P.A)
;<X = 180°-50° = 130°
Similarly,
<Y = 130°
;
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MEASUREMENT OF X AND Y ID 150°.
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