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Question

Question 129

In the given figure, find the values of x, y and z.

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Solution

In the given figure, BAD=60,ABD=60,ADB=x,DAC=30,ADC=y and ACD=z
We know that, the sum of all angles in a triangle is equal to 180
In ΔABD,BAD+ABD+ADB=180
60+60+x=180120+x=180x=180120x=60
Now, y=BAD+ABD
[ exterior angle is equal to the sum of interior opposite angles]
y=60+60y=120
In ΔADC,DAC+ADC+ACD=180 [angle sum property of a triangle]
30+120+z=180150+z=180z=180150z=30
Hence, x=60,y=120 and z=30


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