Question

If $\angle$ABD is right angle and $\angle$DBC measures 28${}^{\circ }$ then what is the measure of $\angle$CBA ?

• A. 60${}^{\circ }$
• B. 62${}^{\circ }$
• C. 52${}^{\circ }$
• D. 50${}^{\circ }$

Answer 1

The correct option is B 62${}^{\circ }$

Given, $\angle$ABD is a right angle.
$\Rightarrow$ $\angle$ABD = 90${}^{\circ }$
We know that $\angle$ABD = $\angle$CBA +$\angle$DBC
We have, $\angle$DBC = 28${}^{\circ }$.

If we remove $\angle$BCD from $\angle$ABD, we get $\angle$ABC.

$\therefore \angle$CBA = 90${}^{\circ }$- 28${}^{\circ }$ = 62${}^{\circ }$