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Question

ΔBUG is an isosceles triangle with BU = GU. Find all the angles. 
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Your Answer
A
50, 50, 80
Your Answer
B
45, 45, 90
Your Answer
C
60, 30, 90
Correct Answer
D
42, 42, 96

Solution

The correct option is C 42, 42, 96
Given, BU = GU.
 B G   [angles opposite to equal sides are equal]
 G=(x+10)
Sum of all angles in a triangle = 180
  B +  U +  G180
x+10+3x+x+10=180
5x+20=180
5x=160
x=32
x+10=32+10
x=42
 3x=3×32=96
Angles of the given triangle are 42, 42 and 96.

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