In the given isoceles $△$ IJK , if ∠IKL = 128° , find the value of $x$ .

64°

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61°

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66°

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44°

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Solution

The correct option is A 64°
According to the exterior angle sum property:
Exterior angle = sum of two interior opposite angles
128° = $x^{\circ} + x^{\circ}$
$\Rightarrow$ 128 = $2 x^{\circ}$
$\Rightarrow$ 128/2 = $2 x^{\circ}$ /2 [on both sides, divide by 2]
$\Rightarrow x^{\circ}$ = 64°

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