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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

Determine the...

Question

Determine the value of x in the figure.

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Solution

From the figure
$6 x, 4 x$ are supplementary angles

$⟹ 6 x + 4 x = 180^{\circ}$

$⟹ 10 x = 180^{\circ}$

$⟹ x = \frac{180^{\circ}}{10} = 18^{\circ}$

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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

Standard IX Mathematics

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