In the figure shown below -ABD - 30-BD is the angle bisector of -ABC- What is the value of -ABC-

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In the figure...

Question

In the figure shown below $∠$ $A B D$ = $30^{\circ}$
BD is the angle bisector of $∠$ $A B C$ . What is the value of $∠$ $A B C$ .

$60^{\circ}$

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50^{\circ}

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45^{\circ}

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30^{\circ}

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Solution

The correct option is A
$60^{\circ}$

An angle bisector divides a given angle into two equal angles. Since BD divides $∠$ ABC into two equal angles,
$∠$ $D B C$ = $30^{\circ}$
$∠$ $A B C$ = 30+30 = $60^{\circ}$

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In the figure shown below ∠ABD = 30∘ BD is the angle bisector of ∠ABC. What is the value of ∠ABC.

The correct option is A 60∘ An angle bisector divides a given angle into two equal angles. Since BD divides ∠ ABC into two equal angles, ∠DBC = 30∘ ∠ABC = 30+30 = 60∘

In the figure shown below $∠$ $A B D$ = $30^{\circ}$
BD is the angle bisector of $∠$ $A B C$ . What is the value of $∠$ $A B C$ .

The correct option is A
$60^{\circ}$

An angle bisector divides a given angle into two equal angles. Since BD divides $∠$ ABC into two equal angles,
$∠$ $D B C$ = $30^{\circ}$
$∠$ $A B C$ = 30+30 = $60^{\circ}$