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Question

In the given figure, ΔABDΔACD. If BDC=110 and DAC=30, then the measure of DBA is :
206901.png

A
70
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B
40
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C
30
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D
25
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Solution

The correct option is D 25
ΔABDΔACD (given)
DAC=DAB=30 (By CPCT)
Also, ADC=ADB=x (By CPCT)
Now, ADC+ADB+BDC=360
x+x+110=360 ...Angles at a point
x=125
ADC=ADB=125
In ADB
ADB+BAD+DBA=180 (Angles of a triangle)
125+30+DBA=180
DBA=180155=25
Hence, option 'D' is correct.
238542_206901_ans.png

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