In ABC - - A -100- and AB - AC- Find - B and - C- -2 MARKs-

Calculation : 1 Mark Result : 1 Mark We have, AB = AC ⇒ ∠B = ∠C [Angles opposite to equal sides are equal] ∠A + ∠B + ∠C = 180^∘ ⇒ 100^∘ + 2∠B = 180^∘ ⇒ ∠B = ...

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Standard IX

Mathematics

Scalene Triangle

In ABC , ∠ A ...

Question

In $△$ ABC, $∠$ A = $100^{\circ}$ and AB = AC. Find $∠$ B and $∠$ C. [2 MARKs]

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Solution

Calculation : 1 Mark
Result : 1 Mark

We have, AB = AC

$\Rightarrow$ $∠$ B = $∠$ C [Angles opposite to equal sides are equal]

$∠$ A + $∠$ B + $∠$ C = $180^{\circ}$

$\Rightarrow$ $100^{\circ}$ + 2 $∠$ B = $180^{\circ}$

$\Rightarrow$ $∠$ B = $40^{\circ}$ = $∠$ C

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In △ABC, ∠A = 100∘ and AB = AC. Find ∠B and ∠C. [2 MARKs]

Calculation : 1 Mark Result : 1 Mark We have, AB = AC ⇒ ∠B = ∠C [Angles opposite to equal sides are equal] ∠A + ∠B + ∠C = 180∘ ⇒ 100∘ + 2∠B = 180∘ ⇒ ∠B = 40∘ = ∠C

In $△$ ABC, $∠$ A = $100^{\circ}$ and AB = AC. Find $∠$ B and $∠$ C. [2 MARKs]

Calculation : 1 Mark
Result : 1 Mark

We have, AB = AC

$\Rightarrow$ $∠$ B = $∠$ C [Angles opposite to equal sides are equal]

$∠$ A + $∠$ B + $∠$ C = $180^{\circ}$

$\Rightarrow$ $100^{\circ}$ + 2 $∠$ B = $180^{\circ}$

$\Rightarrow$ $∠$ B = $40^{\circ}$ = $∠$ C