ABC is a triangle with AD as the angular bisector- If - A -60- - B -40- and - C -80- then - BAD -B- 60-45-D- 90-

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Angular Bisector

ABC is a tria...

Question

ABC is a triangle with AD as the angular bisector. If $∠ A = 60^{\circ}$ , $∠ B = 40^{\circ}$ and $∠ C = 80^{\circ}$ , then $∠ B A D$ =____.

30^{\circ}

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60^{\circ}

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45^{\circ}

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90^{\circ}

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Solution

The correct option is A $30^{\circ}$
Given that AD is an angular bisector. An angular bisector bisects an angle into two equal parts. Here, AD bisects $∠ A$ into $∠ B A D$ and $∠ C A D$ .
Given that $∠ A$ = $60^{\circ}$
$∴ ∠ B A D = ∠ A \div 2 = 60 \div 2 = 30^{\circ}$

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ABC is a triangle with AD as the angular bisector. If ∠A=60∘, ∠B=40∘ and ∠C=80∘ , then ∠BAD=____.

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ABC is a triangle with AD as the angular bisector. If $∠ A = 60^{\circ}$ , $∠ B = 40^{\circ}$ and $∠ C = 80^{\circ}$ , then $∠ B A D$ =____.

The correct option is A $30^{\circ}$
Given that AD is an angular bisector. An angular bisector bisects an angle into two equal parts. Here, AD bisects $∠ A$ into $∠ B A D$ and $∠ C A D$ .
Given that $∠ A$ = $60^{\circ}$
$∴ ∠ B A D = ∠ A \div 2 = 60 \div 2 = 30^{\circ}$