In the given figure- - CAE -84- If - B - - C -3- 4- then - B - and - C -A- - B -27- - C -36-B- - B -36- - C -48-C- - B -75- - C -90-D- - B -33- - C -44-

The correct option is B ∠B = 36^∘, ∠C = 48^∘ Let ∠B = 3x^∘ and ∠C = 4x^∘ 3x^∘ + 4x^∘ = 84^∘... (exterior angle theorem) ∴ 7x = 84^∘ x = 12^∘ ∴∠B = 3(12) = 36^ ...

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Byju's Answer

Standard VI

Mathematics

Exterior Angle Property

In the given ...

Question

In the given figure, $∠ C A E = 84^{\circ}$ . If $∠ B : ∠ C = 3 : 4,$ then $∠ B$ = _ and $∠ C$ = _,

$∠ B = 27^{\circ}, ∠ C = 36^{\circ}$

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$∠ B = 36^{\circ}, ∠ C = 48^{\circ}$

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$∠ B = 75^{\circ}, ∠ C = 90^{\circ}$

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$∠ B = 33^{\circ}, ∠ C = 44^{\circ}$

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Solution

The correct option is B
$∠ B = 36^{\circ}, ∠ C = 48^{\circ}$

Let $∠ B = 3 x^{\circ}$ and $∠ C = 4 x^{\circ}$

$3 x^{\circ} + 4 x^{\circ} = 84^{\circ} . . .$ (exterior angle theorem)

$∴ 7 x = 84^{\circ}$

$x = 12^{\circ}$

$∴ ∠ B = 3 (12) = 36^{\circ}$

$∠ C = 4 (12) = 48^{\circ}$

Hence $∠ B = 36 ° a n d ∠ C$ = 48°

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In the given figure, ∠CAE=84∘. If ∠B:∠C=3 : 4, then ∠B = ___ and ∠C = ___,

The correct option is B ∠B=36∘, ∠C=48∘ Let ∠B=3x∘ and ∠C=4x∘ 3x∘+4x∘=84∘... (exterior angle theorem) ∴ 7x=84∘ x=12∘ ∴∠B=3(12)=36∘ ∠C=4(12)=48∘ Hence ∠B=36° and ∠C = 48°

In the given figure, $∠ C A E = 84^{\circ}$ . If $∠ B : ∠ C = 3 : 4,$ then $∠ B$ = _ and $∠ C$ = _,