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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 Angles of...

Question

The Angles of triangle are $5 x + 12, 3 x + 18, 2 x + 20$ find $x$

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Solution

The angles of triangle are $5 x + 12, 3 x + 18, 2 x + 20$
The sum of angles in triangle are $180^{\circ}$
$5 x + 12 + 3 x + 18 + 2 x + 20 = 180 10 x + 50 = 180 10 x = 130 x = 13^{\circ}$

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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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