Question

Which of the following statements is true about the figure given below?

Given : $\angle$ ABD = 110${}^{\circ }$

• A. $\angle$DBC = 180${}^{\circ }$
• B. $\angle$DBC = 80${}^{\circ }$
• C. $\angle$CBA and $\angle$DBA are supplementary.
• D. $\angle$DBC = 70${}^{\circ }$

Answer 1

The correct option is D

$\angle$DBC = 70${}^{\circ }$

Here $\angle$ABD and $\angle$DBC are supplementary, since they lie on a straight line.
Hence $\angle$ABC = 180${}^{\circ }$
Given $\angle$ABD = 110${}^{\circ }$
$\therefore \angle$ DBC = 180 - $\angle$ ABD = 180 - 110 = 70${}^{\circ }$