In a triangle ABC - - A -8 x - - B -5 x and AB - AC- then the value of x is -A- 60-B- 10-C- 40-

The correct option is B 10^∘Given, ∠ A = 8x, ∠ B= 5x nbsp;AB = AC nbsp; In triangle ABC, nbsp; ∠ B = ∠ C = 5x [ Angles oppsite to equal sides are always ...

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Standard IX

Mathematics

Isosceles Triangle

In a triangle...

Question

In a triangle ABC, $∠ A = 8 x, ∠ B = 5 x$ and AB = AC, then the value of x is .

60^{\circ}

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10^{\circ}

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40^{\circ}

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Solution

The correct option is B $10^{\circ}$
Given,
$∠ A = 8 x, ∠ B = 5 x$
AB = AC
In triangle ABC,
$∠ B = ∠ C = 5 x$
[ Angles oppsite to equal sides are always equal]
$∠ A + ∠ B + ∠ C = 180^{\circ}$
$8 x + 5 x + 5 x = 180^{\circ}$
[Angle Sum Property]
$18 x = 180^{\circ}$
$x = 10^{\circ}$

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In a triangle ABC, ∠A=8x,∠B=5x and AB = AC, then the value of x is .

The correct option is B 10∘Given, ∠A=8x,∠B=5x AB = AC In triangle ABC, ∠B=∠C=5x [ Angles oppsite to equal sides are always equal] ∠A+∠B+∠C=180∘ 8x+5x+5x=180∘ [Angle Sum Property] 18x=180∘ x=10∘

In a triangle ABC, $∠ A = 8 x, ∠ B = 5 x$ and AB = AC, then the value of x is .

The correct option is B $10^{\circ}$
Given,
$∠ A = 8 x, ∠ B = 5 x$
AB = AC
In triangle ABC,
$∠ B = ∠ C = 5 x$
[ Angles oppsite to equal sides are always equal]
$∠ A + ∠ B + ∠ C = 180^{\circ}$
$8 x + 5 x + 5 x = 180^{\circ}$
[Angle Sum Property]
$18 x = 180^{\circ}$
$x = 10^{\circ}$