prove that the sum of all the angles if a quadrilateral is 360°. please answer this question.. i will definitely mark your ans as brainelist.. Thankyou .. your lovingly friend- Tanya : )
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so 1 quadrilateral = 2 × 180
= 360
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Your answer
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LETS TAKE A QUADRILATERAL ABCD.
THEN,
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LET'S DRAW ONE DIAGONAL, SAY AC.
THEN, WE GET TWO TRIANGLES -- ∆ABC AND ∆ADC.
WE KNOW THAT,
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IN A TRIANGLE THE SUM OF ALL THE ANGLES IS 180°.
NOW,
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IN QUADRILATERAL ABCD,
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SUM OF THE ANGLES IS EQUAL TO THE SUM OF THE ANGLES OF THE TWO TRIANGLES.
THUS,
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SUM OF ANGLES IN TWO TRIANGLES = 2×180° = 360°
HENCE, PROVED.
HOPE IT HELPS
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