Question

In an isosceles ∆ABC,AB=BC if A=angle 52°.What is the measures of angl e 3 .

Answer 1

a=c
52+52+c=180
104+c=180
c=180-104
c= 76
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Answer 2

Hey,

Given-triangle abc AB=AC
Proof-
angle sum prop of triangle= 180°

Angle B = Angle C ( Base angles of an isosceles triangle are equal).
Let angle B an c be x° each.
52°+x+x = 180°
2x = 180° - 52°
x = 122° /2
x = 61°