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If Two Sides of a Triangle Are Unequal, Then the Angle Opposite to the Greater Side Is Greater Than Angle Opposite to the Smaller Side

The shapes in...

Question

The shapes in the given pair are similar.

True

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False

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Ambiguous

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Data insufficient

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Solution

The correct option is A False
In $△ J L K$
$∠ J = 88^{\circ}$
$∠ L = 48^{\circ}$
Sum of angles = 180
$∠ J + ∠ L + ∠ K = 180$
$∠ K = 180 - 88 - 48$ = $44^{\circ}$
In $△ P Q R$
$∠ Q = 42^{\circ}$
$∠ R = 48^{\circ}$
Sum of angles = 180
$∠ P + ∠ Q + ∠ R = 180$
$∠ P = 180 - 88 - 48$ = $90^{\circ}$
The corresponding angles are not equal. Hence, the triangles are not similar.

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The shapes in the given pair are similar.

The correct option is A FalseIn △JLK∠J=88∘∠L=48∘Sum of angles = 180∠J+∠L+∠K=180∠K=180−88−48 = 44∘In △PQR∠Q=42∘∠R=48∘Sum of angles = 180∠P+∠Q+∠R=180∠P=180−88−48 = 90∘The corresponding angles are not equal. Hence, the triangles are not similar.