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Question

The measures of the two adjacent angle of a quadrilateral ABCD are 125 degree and 35 degree
.the other two angles are equal . find the measure of the equal angles .

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Solution

Answer :

Let equal angles of quadrilateral = x

And given : two angles of quadrilateral = 125° and 35°

And we know from angle sum property of quadrilateral that sum of all internal angles of quadrilateral is 360° .
So,

x + x + 125° + 35° = 360°

2x + 160° = 360°

2x = 200°

x = 100°

So,

The measure of the equal angles = 100° ( Ans )

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