Observe the given construction- if - BAE -60- then - CAF will beA- 10-B- 60-C- 15-D- 30-

The correct option is C ∠BAE = 60^∘ [Given] AF is angle bisector of 60^∘ ⇒∠BAF = 30^∘ and AC is angle bisector of 30^∘ ∠BAC=∠CAF ⇒∠BAC =∠CAF = 15^∘ ...

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Standard VI

Mathematics

Angles

Observe the g...

Question

Observe the given construction, if $∠ B A E = 60^{\circ}$ , then $∠ C A F$ will be

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Solution

The correct option is B
$∠ B A E = 60^{\circ}$ [Given]
AF is angle bisector of $60^{\circ}$
$\Rightarrow ∠ B A F = 30^{\circ}$
and AC is angle bisector of $30^{\circ}$

$∠ B A C = ∠ C A F$
$\Rightarrow ∠ B A C = ∠ C A F = 15^{\circ}$

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Observe the given construction, if ∠BAE=60∘, then ∠CAF will be

The correct option is B ∠BAE=60∘ [Given] AF is angle bisector of 60∘ ⇒∠BAF=30∘ and AC is angle bisector of 30∘ ∠BAC=∠CAF ⇒∠BAC=∠CAF=15∘

Observe the given construction, if $∠ B A E = 60^{\circ}$ , then $∠ C A F$ will be

The correct option is B
$∠ B A E = 60^{\circ}$ [Given]
AF is angle bisector of $60^{\circ}$
$\Rightarrow ∠ B A F = 30^{\circ}$
and AC is angle bisector of $30^{\circ}$

$∠ B A C = ∠ C A F$
$\Rightarrow ∠ B A C = ∠ C A F = 15^{\circ}$