In the figure, if =60^ , =50^ then is equal to: - Vidyadip

MCQ

In the figure, if $\angle\text{DAB}=60^\circ,\angle\text{ABD}=50^\circ$ then $\angle\text{ACB}$ is equal to:

A
60º
B
80º
C
50º
D
70º

✓

Answer

70º
Solution:

In, $\triangle\text{ABD}$
$\angle\text{D}=180^\circ-\angle\text{A}-\angle\text{B}$
$=180^\circ-110^\circ=70^\circ$
Since angles made by same chord at any point of circumference are equal so, $\angle\text{ACB}=\angle\text{ADB}=70^\circ$

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