किसी चतुर्भुज के चारो कोण 1:3:7:9 के अनुपात मे है तो कोण ज्ञात करो
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Answer:
Measure of the angles are :-
18° , 54° , 126° and 162°
Step-by-step explanation:
Let, the angles be, x, 3x, 7x and 9x
Since , we know that the sum of all the angles of a quadrilateral is 360° ,
Therefore,
x + 3x + 7x + 9x = 360°
=> 20x = 360°
=> x = 360°
Now , the required angles are :-
First angle =18°
Second angle = 18°×3 = 54°
Third angle = 18°×7 = 126°
Fourth angle = 18°×9 = 162°
Thanks!
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